The generator matrix

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

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+48x^37+30x^38+96x^39+30x^40+48x^41+1x^46+1x^48+1x^62

The gray image is a linear code over GF(2) with n=156, k=8 and d=74.
This code was found by Heurico 1.16 in 0.0187 seconds.