The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+47x^88+84x^89+158x^90+72x^91+160x^92+100x^93+144x^94+68x^95+53x^96+20x^97+34x^98+32x^99+23x^100+4x^101+6x^102+4x^103+4x^104+2x^110+4x^112+2x^116+1x^128+1x^132

The gray image is a linear code over GF(2) with n=372, k=10 and d=176.
This code was found by Heurico 1.16 in 0.534 seconds.