The generator matrix

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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+74x^32+404x^33+853x^34+1462x^35+1923x^36+2618x^37+3050x^38+3818x^39+3908x^40+4192x^41+3429x^42+2714x^43+1805x^44+1250x^45+642x^46+366x^47+149x^48+64x^49+24x^50+8x^51+10x^52+2x^54+2x^56

The gray image is a linear code over GF(2) with n=160, k=15 and d=64.
This code was found by Heurico 1.13 in 7.17 seconds.