The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  X  2  X  0  0  2  X  2  1  X  1
 0  X  0  0  0  0  0  0  0 X+2  X  X  X  0  X X+2  2  X  X X+2  0  2  2 X+2  X  0 X+2  X  2  2  X X+2  2  0  X  2  X  X X+2  0
 0  0  X  0  0  0  X X+2  X  2  X X+2  0 X+2  0 X+2 X+2  2  0  X  2 X+2  0 X+2  2 X+2 X+2  X  2  2 X+2  X  2  X  2 X+2  2 X+2  0  0
 0  0  0  X  0  X  X  X  0 X+2  2  X X+2  X X+2  2  2  0  2  0  0  X  X  X  0  2  0  X  0  0  X  2  0 X+2  2 X+2 X+2  X  2  0
 0  0  0  0  X  X  0  X X+2  X  0  X  2 X+2  2  0 X+2  2  X  X X+2  2  0 X+2  X  0  2 X+2  2 X+2 X+2  X  X  X X+2  0  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2
 0  0  0  0  0  0  2  0  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  0  0  0  2  2  0  2  2  0  0  2  2  2  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+212x^32+8x^33+424x^34+48x^35+679x^36+256x^37+1116x^38+712x^39+1331x^40+712x^41+1062x^42+256x^43+735x^44+48x^45+354x^46+8x^47+159x^48+50x^50+17x^52+2x^54+1x^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 2.92 seconds.