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  1 X^2+X  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  1  0  1  0  1  1 X^2 X^2+X  1 X^2+X  1 X^2  1  1  1  X  1  1  1  1  1  0  1  1  1  1  1  X  X  0  1  1 X^2+X X^2+X  X  1  1  0 X^2  1  1  X  1  1  1  X  1  0 X^2+X  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+1 X^2  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 X+1  1  X X^2  X X^2  1  X X^2+1  1 X^2+X+1  1 X+1  0  0  X X^2+1 X^2+X+1 X^2+X X+1 X^2+X+1  0  1  1 X^2+X+1 X^2 X^2+X X^2  1  1  1  1  1  1  1 X+1  X  1  1  X X^2+X  1  0 X+1 X^2+1 X^2 X^2+1 X^2  1 X^2+X
 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  0  1 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^2+X+1 X^2 X^2+X+1  1 X^2  1 X^2+X+1  1 X+1 X+1  1 X+1  1  0 X^2 X^2+X X^2+1 X+1  0 X^2+1 X+1  1  1 X^2+X+1 X^2+1 X^2+X X^2+X  1 X+1 X^2+X  0 X^2 X^2 X^2+X X+1 X^2 X+1  1 X^2+1  1  1  X X^2+X+1 X^2+1 X^2+1  1  1  1 X^2+X+1 X^2
 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  0 X^2 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 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  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+110x^89+164x^90+214x^91+76x^92+148x^93+54x^94+52x^95+32x^96+38x^97+21x^98+34x^99+1x^100+24x^101+19x^102+16x^103+12x^106+4x^107+1x^108+1x^110+1x^112+1x^114

The gray image is a linear code over GF(2) with n=372, k=10 and d=178.
This code was found by Heurico 1.16 in 0.521 seconds.