The generator matrix

1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 X 1 1 X 0 0 X 1 1 0 X 1 1 1 X X 0 1 1 1 1 1 0 1 0 X X 1 1 X 1 0 X X 0 1 X 0 1 1 1 0 1 X 1 1 X 1 1 X 1 1 0 1 0 1 X 1 0 X X 1 1 X 0 0 X 0 X 0 1 1 1 X 1 0 0 0 1 1
0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 X 0 X 1 0 1 1 1 X X+1 1 X 1 1 0 1 1 1 X+1 X+1 0 X+1 0 X 0 X 1 X X X+1 1 X 1 0 0 1 X 1 1 1 X 0 0 X+1 1 0 X X 1 X+1 1 X X 1 0 1 X 1 X 1 X 1 0 X 1 1 1 X 1 0 1 X+1 1 0 1 X 0 0 1 X+1 0
0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 X 1 1 1 X+1 1 X X X+1 0 1 X+1 0 0 X X+1 X 0 X+1 1 0 1 X X X 1 1 1 1 X 0 0 X+1 1 1 1 X+1 1 X 0 X+1 X+1 0 1 0 X X 1 X 1 X+1 0 X+1 1 X X+1 X X+1 1 X+1 0 1 X+1 X+1 X 0 X 1 1 0 1 X+1 X+1 0 0 X+1 1 1 1 X X+1 0
0 0 0 1 1 X X+1 1 X 0 X X+1 1 1 X+1 0 0 0 1 0 X+1 0 1 X X+1 X+1 X+1 1 1 X 1 X X+1 1 1 0 X 1 X 1 1 X+1 1 0 0 X 0 X 0 1 X X X+1 1 X 1 0 X+1 X+1 X+1 0 1 X 1 X X+1 1 0 1 1 X X 1 X 1 X+1 1 0 1 1 0 0 X 1 1 X+1 0 0 X+1 X+1 X X+1 0 X X+1 0 X+1
0 0 0 0 X 0 X X 0 0 0 X X X X X X X 0 X 0 X 0 X 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 0 X X X 0 0 0 0 X X X X X 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X 0 0 X X X 0 0

generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+24x^91+47x^92+74x^93+67x^94+32x^95+47x^96+46x^97+28x^98+26x^99+19x^100+16x^101+11x^102+12x^103+4x^104+12x^105+12x^106+6x^108+8x^109+3x^110+3x^112+2x^113+4x^114+2x^117+3x^118+1x^120+2x^123

The gray image is a linear code over GF(2) with n=194, k=9 and d=91.
This code was found by Heurico 1.10 in 0.032 seconds.