The generator matrix

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

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+58x^33+228x^34+328x^35+596x^36+576x^37+904x^38+808x^39+1193x^40+902x^41+880x^42+572x^43+595x^44+238x^45+152x^46+80x^47+37x^48+16x^49+12x^50+4x^51+8x^52+2x^53+1x^56+1x^60

The gray image is a code over GF(2) with n=160, k=13 and d=66.
This code was found by Heurico 1.16 in 1.65 seconds.