The generator matrix

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

generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+70x^89+98x^90+96x^91+77x^92+84x^93+103x^94+72x^95+58x^96+46x^97+59x^98+36x^99+26x^100+20x^101+28x^102+22x^103+11x^104+14x^105+14x^106+16x^107+9x^108+12x^109+9x^110+8x^111+9x^112+6x^113+5x^114+4x^115+4x^117+4x^118+2x^119+1x^120

The gray image is a linear code over GF(2) with n=192, k=10 and d=89.
This code was found by an older version of Heurico in 0 seconds.