The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 0 1 1 1 1 1 0 1 1 1 X 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 0 X 1 X 0 X 1 0 1 1 1 1 0 X 1 1 1 0 1
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 1 0 X+1 1 X+1 1 X 0 1 X+1 1 0 X+1 X+1 1 0 1 X+1 1 X 1 X X 1 1 1 1 X+1 X+1 X+1 X+1 1 1 X+1 1 X+1 X+1 X+1 1 0 1 X+1 1 X+1 1 X+1 X+1 1 1 1 1 1 0 1 1 0 X X 1 0 1 X 1 1 1 X X 0 X 0 1 X X+1 X+1 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 0 X X 0 X 0 0 X X X 0 X X X X 0 0 X X X X X 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 X 0 0 X X 0 0 X X 0 X X X X X 0 X X 0 0 0 0 X X X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 0 X X X X 0 X 0 X 0 X X 0 0 0 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 0 X X 0 0 0 0 0 0 X X X X X X X 0 0 X 0 X 0 X 0 X 0 X X 0
0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X X 0 X X X X X X X 0 X X 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 X X X X 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X X X X X X X X 0 X X X X X X X X X 0 X 0 0 0 X 0 0 0
0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 X X 0 0 0 X X X 0 0 0 0 0 X X 0 X 0 X 0 X X 0 0 0 X X 0 0 X X 0 0 X 0 X X X X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X X 0 X X 0 X 0 X X X
0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 0 0 0 X 0 X 0 X X X X X 0 0 X X 0 0 0 X X X X 0 0 X X 0 0 0 X X X X 0 0 0 X X 0 X X X X X X X 0 0 X 0 X 0 0 X X 0 X X X X X X 0 0 X 0 X X
0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 X X 0 X X X X 0 X X 0 0 0 0 X X 0 X X X 0 0 X X X 0 X 0 X X X 0 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X X 0 X X 0 X 0 X
generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 90.
Homogenous weight enumerator: w(x)=1x^0+30x^90+52x^91+65x^92+70x^93+78x^94+72x^95+61x^96+64x^97+54x^98+42x^99+55x^100+46x^101+34x^102+50x^103+33x^104+50x^105+38x^106+26x^107+29x^108+20x^109+11x^110+14x^111+4x^112+6x^113+6x^114+2x^116+2x^118+2x^120+2x^126+2x^128+1x^132+1x^136+1x^142
The gray image is a linear code over GF(2) with n=198, k=10 and d=90.
This code was found by Heurico 1.16 in 0.495 seconds.