The generator matrix

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

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+79x^88+104x^89+154x^90+64x^91+130x^92+72x^93+82x^94+48x^95+94x^96+72x^97+64x^98+16x^99+11x^100+8x^101+18x^102+2x^104+2x^106+1x^116+1x^132+1x^140

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 0.542 seconds.