The generator matrix

 1  0  0  0  1  1  1  1  1  2  1  1 X+2  X  0 X+2  1  1  1  1 X+2  2 X+2  0  1  1  1  1 X+2  1  1  0  X  1  1  1 X+2  1 X+2  1
 0  1  0  0  0  0  1 X+3  1  1 X+2 X+3  1  X  1  2  2 X+3  0 X+3  1  X  1  X  0  1 X+2 X+1  0 X+1 X+2  1  1 X+3  3  1  1 X+3  1 X+2
 0  0  1  0  0  1  0  1  1  3 X+1 X+2  1  1  2  0  2  3 X+1 X+2  2  1  0  1 X+3 X+2 X+1 X+1  X  X  0 X+1 X+3  X X+1 X+3  2 X+1  1  3
 0  0  0  1 X+1  1  3 X+3  2  1  0 X+2 X+2 X+1 X+1  1 X+2  2 X+2  1  0  0  1 X+3 X+3  1  X X+3  1  X  3 X+1 X+2  0  3 X+3 X+3  2  3  2
 0  0  0  0  2  0  0  2  0  0  2  2  2  2  2  0  0  0  2  0  0  2  0  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  2  2
 0  0  0  0  0  2  2  0  0  2  2  2  2  0  0  2  2  2  0  0  2  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  2  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+140x^33+438x^34+846x^35+977x^36+1422x^37+1498x^38+1844x^39+1817x^40+2114x^41+1609x^42+1476x^43+968x^44+658x^45+282x^46+180x^47+70x^48+18x^49+12x^50+6x^51+6x^52+1x^58+1x^60

The gray image is a code over GF(2) with n=160, k=14 and d=66.
This code was found by Heurico 1.16 in 5.71 seconds.