The generator matrix

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

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+232x^32+60x^33+694x^34+292x^35+1436x^36+612x^37+2272x^38+1044x^39+2969x^40+1100x^41+2396x^42+684x^43+1408x^44+268x^45+624x^46+28x^47+213x^48+8x^49+30x^50+12x^52+1x^72

The gray image is a code over GF(2) with n=160, k=14 and d=64.
This code was found by Heurico 1.16 in 7.53 seconds.