The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1 X+2  1  1  0  1 X+2  1  0  1  1  2  1  1  1  1  1 X+2  1  1  1 X+2  1  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0  3  1 X+2 X+1  1 X+1  1  0  1  3 X+2  1  0 X+1 X+2  3  0  1 X+2  3 X+2  1  3 X+2  3  3
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  2  2  0  0  2  2  0  0  0  2  2  0  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  0  0  0  0  2  0  2  2  2  2  0  0  0  2  0  0  0  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  2  0  0  0  0  0  0  2  2  0  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  0  2  0  0  2  2  0  2  0  0  2  2  0  0  0  0  2  2
 0  0  0  0  0  0  0  2  0  2  0  0  0  0  0  0  2  2  0  2  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  0  2  0  0  0  0  2  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+125x^32+24x^33+192x^34+104x^35+732x^36+312x^37+1216x^38+584x^39+1643x^40+584x^41+1216x^42+312x^43+701x^44+104x^45+192x^46+24x^47+96x^48+22x^52+7x^56+1x^60

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.