The generator matrix

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

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+97x^32+422x^33+808x^34+1502x^35+1779x^36+2648x^37+3124x^38+3902x^39+3680x^40+4442x^41+3298x^42+2850x^43+1764x^44+1202x^45+600x^46+346x^47+162x^48+80x^49+42x^50+8x^51+5x^52+6x^53

The gray image is a linear code over GF(2) with n=160, k=15 and d=64.
This code was found by Heurico 1.16 in 21.2 seconds.