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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+298x^87+124x^88+286x^89+131x^90+304x^91+82x^92+270x^93+68x^94+122x^95+39x^96+106x^97+35x^98+40x^99+19x^100+58x^101+2x^102+20x^103+12x^105+4x^106+16x^107+5x^108+4x^109+2x^112

The gray image is a linear code over GF(2) with n=368, k=11 and d=174.
This code was found by Heurico 1.16 in 23 seconds.