The generator matrix

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

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+125x^92+36x^94+355x^96+316x^98+128x^100+28x^102+28x^104+4x^106+2x^108+1x^188

The gray image is a linear code over GF(2) with n=388, k=10 and d=184.
This code was found by Heurico 1.16 in 0.845 seconds.