The generator matrix

 1  0  0  0  0  1  1  1 X+2  1  1  2  1  0  1  1 X+2  1 X+2  1  1  1  0  0  1  2  2  1  2  1  1  X  1  0  0  1  1  X  1  1
 0  1  0  0  0  0  2  0  2  0  0  0  2  2  2  2  0  3  1  3 X+1  1  1  1  3  1  X X+2  1  X X+1  1  X X+2  1 X+2 X+3  1  X  X
 0  0  1  0  0  0  0  2  2  1  1  1 X+1  1  1  X  1  3 X+3 X+2  1  2 X+2 X+1  1  1  1 X+1  0 X+3  3  1 X+1  1  2  3 X+2  3  2 X+1
 0  0  0  1  0  1  X X+1  1  1  0  3 X+3  3 X+2 X+1  X X+3  0  2  X  1  1  2  3 X+1  0  3  3 X+2  1 X+1 X+1  0  X X+3  0 X+2  0 X+2
 0  0  0  0  1  1 X+1  X X+1  2  3  3  3  X  X  2 X+2  1 X+3  1  0 X+2 X+3 X+2 X+2  X  3  2  X  3  3 X+1  3 X+1 X+3  0  0  2 X+1 X+3
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  0  2  2  0  0  2  2  2  2  0  0  0  0  2  0  2  2  2  0  2  2  2  0  0  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+354x^32+756x^33+1694x^34+2528x^35+3998x^36+5188x^37+6252x^38+7560x^39+8005x^40+8248x^41+6740x^42+5636x^43+3722x^44+2116x^45+1538x^46+656x^47+384x^48+76x^49+58x^50+4x^51+15x^52+6x^54+1x^60

The gray image is a code over GF(2) with n=160, k=16 and d=64.
This code was found by Heurico 1.13 in 32.5 seconds.