The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+38x^33+103x^34+132x^35+315x^36+246x^37+599x^38+334x^39+542x^40+398x^41+619x^42+256x^43+270x^44+74x^45+75x^46+40x^47+20x^48+12x^49+10x^50+4x^51+2x^52+2x^54+2x^55+1x^56+1x^60

The gray image is a code over GF(2) with n=160, k=12 and d=66.
This code was found by Heurico 1.16 in 0.474 seconds.