The generator matrix

 1  0  0  0  1  1  1  1 X^2+X  1  1 X^2+X  0  1  X  X  1 X^2  0  1  0  1  X  1  1  1  1  X  1 X^2+X  X  1  1  1  0  X  1  X X^2+X  1  0  1  1 X^2  0  1  1  1  1  X  0  1 X^2+X X^2  1  1  1  1 X^2  1  1  1  X X^2  1 X^2+X  1  1  X  1  0  1  1  0 X^2+X  0  X  1  1 X^2  1  1  X  1  1 X^2+X X^2  0  1  1  1  1  X  1 X^2
 0  1  0  0  0 X^2  1 X^2+1  1 X^2+1 X^2  1  1 X^2+X+1  X  1  X  1  1  1  0 X^2+X  1  X X^2+X+1 X+1 X+1  0  X  X X^2 X^2  X X+1  1  1 X^2+X+1  1  1 X+1  1 X^2+X X^2+X+1 X^2 X^2+X X^2+X X^2+X+1 X^2+X X^2 X^2  1 X^2+X  1  X  1 X^2 X^2+1 X^2+X+1 X^2+X X^2+X  0 X^2  1  1  X X^2 X^2+X  X  1 X^2+X  1 X+1 X^2+X+1  0  1 X^2+X  1  0 X^2  1 X^2 X^2+1  1  0  X  1  1  X  1 X^2+X+1 X^2+X X^2+X+1  0 X^2+X  1
 0  0  1  0  0 X^2+1 X^2  1  1  1 X+1 X^2+X+1  0  0  1 X+1 X^2+X+1  X X^2+X+1 X^2  1 X^2+X X^2  0 X^2 X^2+1 X+1  X X+1  1  X X+1 X+1 X^2+X X^2+X+1 X^2+X  X  X X+1  X  X X^2  1  1  1 X^2+X+1 X+1  0 X^2+X+1  1 X^2+1  1  0  1 X^2+X  X X+1 X^2+X+1  0 X^2+1 X^2+X  X X+1  X  X  X X^2+1  0 X+1 X^2  X X^2+X  0  1  X  1 X^2+X  X X^2+1 X+1 X^2 X^2+X+1 X^2+X  1 X^2+X X^2+X X^2+X+1  1 X^2+1 X^2+X X^2+1 X+1  1 X^2+X X^2+X
 0  0  0  1  1  1 X^2+1  X  1  1  0 X^2+X X+1  X X^2+X+1 X+1 X+1 X+1  X X^2+1 X^2+X X^2  0 X+1  X X+1 X^2  1 X^2+X X^2+X+1  1  1 X^2  0 X^2 X^2+1 X+1  0 X^2  1  1  1 X^2+X+1  X X^2+X+1 X^2 X^2+X X^2+X X^2 X^2+X  0 X^2+1 X^2+X X^2+1 X^2+X X^2+1  0 X+1  1 X+1 X^2+1 X^2 X^2+X+1  X  1  1  0 X^2+1 X^2+1  X X^2+X  X X^2+1 X^2  0 X^2+X X^2+X  1 X^2+X+1 X^2 X^2 X+1 X^2+X+1  0 X^2+1  0 X+1  X  1  X  1 X^2+X  0 X^2  X
 0  0  0  0  X  0  0  0  0 X^2  X X^2+X  X  0  0  X X^2+X  0  0  X  X X^2+X X^2+X X^2 X^2+X  X X^2+X X^2+X  X  X X^2 X^2+X X^2  0 X^2 X^2+X  0 X^2  X X^2+X X^2  0 X^2 X^2+X X^2+X  X X^2  X X^2 X^2 X^2 X^2+X  X X^2+X X^2+X  X X^2+X  X  0 X^2  0 X^2+X X^2+X  X X^2  0 X^2+X X^2+X  X X^2  0  X  X  X X^2+X X^2+X  X X^2+X  0  X X^2+X  X X^2 X^2+X  0  X  0  X  X  X  0  X  0  X X^2

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+228x^86+476x^87+751x^88+804x^89+1028x^90+1000x^91+1220x^92+1140x^93+1224x^94+1080x^95+1348x^96+1068x^97+1116x^98+908x^99+769x^100+608x^101+510x^102+348x^103+296x^104+152x^105+126x^106+84x^107+51x^108+4x^109+22x^110+8x^111+6x^112+2x^114+4x^116+2x^120

The gray image is a linear code over GF(2) with n=380, k=14 and d=172.
This code was found by Heurico 1.13 in 6.23 seconds.