The generator matrix

 1  0  1  1  1  0  X  1  1  1  1 X^2+X  1  1  0  1  1  X  1  1 X^2  1 X^2+X  1  1  1  1  1  0  1  1  X  1  1  X X^2  1  1  1  1  0  1  X  1  1  0  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X X^2+X X^2+X X^2+X X^2+X X^2+X  1 X^2 X^2  1  1  0  1  0  X  0  1  X X^2  1  1  1  1 X^2+X
 0  1  1 X^2+X X^2+X+1  1  1 X^2 X+1  X X^2+1  1 X^2+X X^2+X+1  1 X^2 X+1  1  X  1  1 X^2+1  1 X^2+X X^2  X  0 X+1  1 X^2 X+1  1  X  1  1  1  1  0  0 X^2+X+1  1 X^2+X+1  1  X X^2+1  1 X^2+1  1  0  X  0  0  0  0  X  X X^2  X X^2+X  X X^2+X  0 X^2  0 X^2+X X^2+X X^2+X X+1 X^2+1 X+1  1  1  1  1  1  1 X^2+1  1  1 X^2+X+1 X^2+1  0 X^2+X+1  1  X  1 X+1 X^2+X  1 X^2  1 X^2 X^2+X+1  1
 0  0  X  0 X^2+X X^2+X  X  X X^2 X^2+X  0  0 X^2  X X^2  X X^2  X X^2+X X^2+X X^2+X  0 X^2  0  0 X^2  0  0  0 X^2+X X^2+X X^2+X  X X^2 X^2  X X^2+X X^2 X^2+X  X X^2  0 X^2+X  X  X  X X^2  0 X^2 X^2 X^2  X  X  0 X^2 X^2  0  X X^2+X  X X^2+X  0  X  X  0 X^2  0  0  0 X^2+X X^2+X X^2 X^2+X X^2  X  0 X^2  X X^2+X X^2+X X^2+X  X  0 X^2+X  0 X^2 X^2+X X^2  0 X^2+X  X X^2  0 X^2+X
 0  0  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0
 0  0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  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+246x^88+370x^90+348x^92+220x^94+326x^96+262x^98+210x^100+32x^102+8x^104+8x^106+5x^108+2x^110+2x^112+2x^116+2x^118+3x^124+1x^128

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 1.31 seconds.