The generator matrix

 1  0  0  1  1  1  X X^2  1 X^2+X  1  1  1 X^2  1  1  0  1 X^2+X  X  1  1  0  0  1  1 X^2+X  1  1 X^2+X  1 X^2+X X^2  1  1 X^2+X  1  1 X^2  1  1  0 X^2  1  1  0 X^2+X  1  1  1  X  0  1  1  X  0 X^2+X  1  1 X^2+X  1 X^2+X  1  1 X^2  X  1  1  0 X^2  1  1  1  X  1  1  1  1  1  0  1 X^2+X X^2+X  1 X^2 X^2  X X^2+X  1  1  1  X  1  0
 0  1  0  0 X^2+1 X+1  1 X^2 X^2+X+1  1 X^2 X+1 X^2  1 X^2+X+1  0  1  1  0  1  0 X+1  1  1  1 X^2 X^2  X X^2+X  X  X  1  1 X^2+X+1 X^2+X  1 X^2 X+1  1  X X^2+X+1  1  X X+1 X+1  1 X^2 X^2+X+1  X X^2  1  X  X X^2+1  1  0  1 X^2+X  1  X X^2  1  1 X^2+X+1  X X^2+X  0 X^2+1  1  1  1  1 X^2  1  0 X^2+X  X  X  1 X^2  0  1  1 X^2+X+1  1 X^2+X  1  0  1 X+1 X+1  X X^2  1
 0  0  1  1 X^2+1 X^2 X^2+1  1 X^2+X+1  0 X+1 X^2  0  1 X^2+X+1 X+1  0 X^2  1  1 X^2  0 X^2  1 X^2+1  1  1  0 X^2+1  1 X^2+X X+1 X^2+X  1 X^2+1 X+1  X X^2+X  X X^2+X X^2+1 X^2+X+1  1  X  X X^2+X  1 X^2+1 X+1 X^2+X  1  1 X+1 X^2+X+1 X^2+X  1  X  0 X+1  1  X X^2  0 X^2+X+1  1  1 X^2+X  X X^2+X+1  1 X^2+X  1 X^2+X+1 X^2+X+1 X^2+1 X^2+1 X^2+X X^2+1 X^2+X+1  1  0  X  0 X^2 X+1  1 X^2+1  1 X^2 X^2+1 X^2+1  1 X^2+X X^2+X+1
 0  0  0  X  X  0  X  X  0  X  0 X^2+X X^2+X X^2 X^2+X X^2+X  X  0  0 X^2 X^2  X X^2 X^2+X X^2 X^2 X^2+X X^2+X  0  0  X X^2  X X^2+X X^2+X X^2+X X^2+X  0 X^2+X X^2 X^2  X X^2+X  X X^2  0  X  X  0  X X^2+X X^2 X^2+X  0  X X^2+X X^2 X^2  X  X  0  0 X^2+X X^2  0 X^2 X^2 X^2 X^2  0  X X^2+X X^2  X  0 X^2 X^2+X  X X^2 X^2  X X^2+X X^2  0 X^2  X X^2+X X^2 X^2  0 X^2 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 89.

Homogenous weight enumerator: w(x)=1x^0+276x^89+165x^90+340x^91+72x^92+288x^93+87x^94+254x^95+56x^96+122x^97+75x^98+80x^99+20x^100+52x^101+17x^102+62x^103+8x^104+30x^105+8x^106+32x^107+3x^112

The gray image is a linear code over GF(2) with n=376, k=11 and d=178.
This code was found by Heurico 1.16 in 0.789 seconds.