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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+38x^37+32x^38+68x^39+34x^40+176x^41+36x^42+76x^43+11x^44+10x^45+12x^46+16x^47+1x^48+1x^76

The gray image is a linear code over GF(2) with n=164, k=9 and d=74.
This code was found by Heurico 1.16 in 0.0771 seconds.