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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+108x^89+72x^90+176x^91+39x^92+124x^93+60x^94+128x^95+13x^96+116x^97+52x^98+64x^99+8x^100+36x^101+4x^102+16x^103+4x^106+1x^124+2x^128

The gray image is a linear code over GF(2) with n=376, k=10 and d=178.
This code was found by Heurico 1.16 in 5.82 seconds.