The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  1  X  0  1  1  1  1 X^2  1  X  1 X^2+X  1 X^2+X  X  1 X^2  X  1  1  1  1  1  1  X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1  X  1  1 X^2+1  1 X^2+X X+1  1 X^2  1 X^2+1  1 X^2+X+1  1 X^2 X^2+X+1  1 X^2+X  X X+1 X^2+1 X^2+X X^2+X X^2  1  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1 X^2+X+1 X^2 X+1  X X^2+X+1 X^2  0 X^2+X X^2+X  X X^2+1 X^2+1 X^2+X+1 X^2+X  1 X^2+X+1 X^2+1  1  1 X^2 X^2  0 X^2+X  0  0  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  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+30x^37+192x^38+160x^39+183x^40+96x^41+131x^42+20x^43+50x^44+42x^45+46x^46+28x^47+22x^48+8x^49+15x^50

The gray image is a linear code over GF(2) with n=164, k=10 and d=74.
This code was found by Heurico 1.11 in 0.031 seconds.