The generator matrix

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

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+47x^88+188x^89+230x^90+266x^91+174x^92+206x^93+153x^94+196x^95+96x^96+104x^97+46x^98+62x^99+57x^100+58x^101+43x^102+44x^103+21x^104+20x^105+18x^106+8x^107+3x^108+6x^110+1x^112

The gray image is a linear code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.11 in 0.468 seconds.