The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  0  1  1  0  1 X+2  1  1  1  1 X+2  1  1  1 X+2  1  1  1  1  2  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  1  0 X+1  1  3  1 X+2  3  0 X+1  1 X+2  3 X+2  1 X+2 X+1  2  3  2 X+3  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  2  2  0  0  0  0  0  2  0
 0  0  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  2  2  0  2  0  0  0  0  2  0  0  2  2  0  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  0  0  2  0  0  2  2  0  0  0  2  2  0  2  2
 0  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  2  2  2  2  2  2  0  0  2  2  0  0  2  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+20x^32+32x^33+135x^34+90x^35+343x^36+162x^37+672x^38+234x^39+782x^40+226x^41+614x^42+158x^43+364x^44+86x^45+94x^46+30x^47+19x^48+6x^49+17x^50+5x^52+2x^54+2x^56+2x^58

The gray image is a code over GF(2) with n=160, k=12 and d=64.
This code was found by Heurico 1.16 in 0.474 seconds.