The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+116x^88+172x^89+177x^90+92x^91+104x^92+92x^93+80x^94+30x^95+37x^96+36x^97+14x^98+8x^99+19x^100+8x^101+10x^102+6x^103+6x^104+4x^105+4x^106+5x^108+2x^110+1x^114

The gray image is a linear code over GF(2) with n=368, k=10 and d=176.
This code was found by Heurico 1.16 in 0.501 seconds.