The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+174x^89+80x^90+224x^91+56x^92+146x^93+50x^94+88x^95+46x^96+48x^97+7x^98+28x^99+8x^100+30x^101+1x^102+12x^103+14x^105+5x^106+1x^110+1x^112+4x^113

The gray image is a linear code over GF(2) with n=372, k=10 and d=178.
This code was found by Heurico 1.11 in 1.37 seconds.