The generator matrix

 1  0  1  1  1 X^2  1  1  X  1  1 X^2+X  1  1 X^2  1  1  0  1  1  X  1  1 X^2+X  1  1 X^2+X  1  1  0  1 X^2  1  1  X  1  1 X^2  1  X  1  1 X^2  1  X  1  X  1  1  0  1  1  1  1  1  1  1  1  1  1 X^2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  X  X X^2  X  X  0  X  X
 0  1  1  0 X+1  1 X^2+X+1  0  1  0 X^2+1  1  0 X^2+X+1  1  0 X+1  1  0 X^2+1  1  0  1  1  X X^2+X+1  1  X X^2+1  1 X^2+X  1 X+1 X^2+X  1 X^2+1  X  1  X  1 X^2+X+1  X  1  X  1  1  0 X^2+X+1  1  X X+1 X^2+X+1  1 X+1 X+1 X+1  1 X+1 X^2+X+1 X+1  X X^2+1 X^2+1 X^2+1 X^2+1  1 X^2+1 X^2 X^2 X^2 X^2 X^2+X X^2  X X^2  X X^2  X X^2 X^2 X^2+X  0  0 X^2 X^2+X X^2+X  X X^2+X X^2  X  0 X^2
 0  0  X  0  0  0  0  X  X  X  X  X X^2 X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  0  0 X^2 X^2+X  X  X X^2  0 X^2 X^2+X X^2+X X^2+X X^2  0  0 X^2+X  X X^2 X^2  X X^2+X  0  X  X X^2 X^2+X  0 X^2+X  X X^2+X X^2  X X^2+X  X X^2+X X^2+X  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2+X  X  0 X^2+X  X X^2 X^2+X X^2 X^2  X  X X^2  X  X  0  0  0
 0  0  0  X X^2 X^2+X X^2+X  X X^2 X^2 X^2+X  X X^2  0 X^2 X^2+X  X  X X^2+X X^2 X^2+X  0  X  0  0 X^2  0 X^2+X X^2+X X^2+X  X  0  0  0 X^2+X  X X^2+X X^2 X^2  X X^2 X^2  X  X X^2 X^2+X  X  X X^2 X^2+X X^2+X X^2  X  0  X  X  X X^2+X X^2+X  0  X  0 X^2 X^2+X  0  0 X^2  X X^2 X^2 X^2+X  X  0  X  0  0  X  0 X^2 X^2  0  X  X X^2+X  X  0  X X^2+X X^2+X  X  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+288x^88+144x^90+276x^92+96x^94+146x^96+16x^98+28x^100+24x^104+4x^120+1x^128

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 0.521 seconds.