The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+188x^89+101x^90+276x^91+82x^92+278x^93+99x^94+256x^95+67x^96+148x^97+73x^98+178x^99+37x^100+106x^101+36x^102+24x^103+3x^104+44x^105+10x^106+22x^107+4x^109+12x^111+1x^118+1x^124+1x^128

The gray image is a linear code over GF(2) with n=380, k=11 and d=178.
This code was found by Heurico 1.16 in 64.3 seconds.