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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+138x^88+158x^89+169x^90+108x^91+103x^92+62x^93+55x^94+56x^95+53x^96+30x^97+20x^98+16x^99+9x^100+6x^101+5x^102+4x^103+16x^104+4x^105+7x^106+4x^109

The gray image is a linear code over GF(2) with n=368, k=10 and d=176.
This code was found by Heurico 1.11 in 0.406 seconds.