The generator matrix

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

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+168x^86+8x^87+268x^88+68x^89+318x^90+104x^91+443x^92+180x^93+468x^94+280x^95+395x^96+204x^97+368x^98+120x^99+225x^100+60x^101+122x^102+123x^104+72x^106+63x^108+18x^110+12x^112+2x^114+5x^116+1x^152

The gray image is a linear code over GF(2) with n=380, k=12 and d=172.
This code was found by Heurico 1.16 in 6.75 seconds.