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  1  1  1  1  1  1  1 X^2  1  X  1  1  1  1  1  X  1  0  1  1  1  1  X  1  X  X  1  0  1  1 X^2  1  1  1  1 X^2  1  0  1 X^2  1  X  X  1  X  1 X^2 X^2  1  1 X^2  1  1  1  0  1  1
 0  X  0  0  0  X X^2+X  X  0 X^2 X^2  0  X X^2+X  X  X  0 X^2+X X^2  X  0  X X^2 X^2+X  0  X X^2 X^2+X  0  X  X  0  0 X^2+X X^2+X  X  X  0  0 X^2 X^2+X  0 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2 X^2+X  0  0  X  0  X  X  X  X  0 X^2+X  X  X  X X^2+X X^2+X  X  X X^2  X X^2  0 X^2 X^2  X  0 X^2 X^2+X  0  X X^2+X X^2  X  X X^2  X  0 X^2  0  X X^2  X X^2  X X^2  X
 0  0  X  0  X  X X^2+X  0  0  0 X^2+X X^2+X  X  X X^2 X^2  0 X^2 X^2  X  X  X  X  0 X^2  0 X^2+X  X  X X^2+X  X  0 X^2+X X^2 X^2 X^2+X X^2  X X^2 X^2 X^2  X  X X^2  X  X  X  0  0 X^2+X  0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2  0 X^2  X  0 X^2+X  0 X^2+X X^2 X^2 X^2+X  X  X X^2 X^2+X X^2  0  X X^2  0  0  0  X X^2  0  X  0  X  0  X  X X^2+X  0 X^2  0 X^2 X^2+X
 0  0  0  X  X  0 X^2+X  X X^2 X^2+X  X X^2 X^2  X  X X^2 X^2 X^2+X X^2+X  X  X X^2  0 X^2  0  0 X^2 X^2+X  X X^2  X  X  0 X^2 X^2+X  0 X^2+X X^2+X X^2+X  0 X^2  X X^2+X  X  0 X^2+X  X  0  X X^2+X  0  0  X  X  0 X^2+X X^2+X  0  0 X^2 X^2+X  X  X X^2 X^2+X X^2+X  X X^2+X X^2  0  X  X X^2 X^2+X  X  0  X  X  0 X^2  X  0  X  0 X^2+X  X X^2+X  X X^2+X  X X^2+X  X X^2 X^2 X^2
 0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0 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 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2
 0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 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+183x^86+4x^87+237x^88+40x^89+393x^90+108x^91+402x^92+200x^93+453x^94+292x^95+363x^96+248x^97+358x^98+100x^99+218x^100+24x^101+177x^102+8x^103+138x^104+69x^106+30x^108+27x^110+12x^112+4x^114+6x^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 37.4 seconds.