The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1  1  2  1  1  1 X+2  1  1  1  X  1  1  2  2  1 X+2  1  1  X  1  1  1  0  0  2  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1  0 X+3  1 X+1  2 X+2  1  3  X  1  1 X+1  3  1  1  X  1 X+3  X  2  X  1  0  X  1  X  0
 0  0  X  0 X+2  0 X+2  0  X X+2 X+2  2 X+2  2  X  2  0  X  0  0  0 X+2  X X+2  0  2 X+2  X  X  0 X+2  X X+2 X+2 X+2  2 X+2  0  X  0
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  2  2  0  2  0  2  0  2  2  2  2  2  2  2  2  0  0  0  2  2  0  2  2  2
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  0  2  2  0  2  0  0  2  2  0  2  0  2  2  0  2  2  2  0  0  2  2  0  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  2  2  0  2  2  2  2  2  2  2  2  2  2  0  2  2  0  2  2  2  2  0  2  0  0  0  2
 0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  2  2  0  0  2  0  2  2  0  0  2  2  2  2  0  0  0  0  0  0  2
 0  0  0  0  0  0  0  2  2  0  2  2  2  0  0  0  2  0  0  2  0  2  2  0  0  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+38x^32+112x^33+224x^34+362x^35+362x^36+674x^37+909x^38+894x^39+1065x^40+938x^41+875x^42+682x^43+406x^44+294x^45+136x^46+106x^47+39x^48+30x^49+28x^50+4x^51+8x^52+3x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 2.04 seconds.