The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+224x^88+350x^90+395x^92+314x^94+253x^96+250x^98+147x^100+38x^102+53x^104+8x^106+6x^108+3x^116+5x^120+1x^124

The gray image is a linear code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.16 in 1.02 seconds.