The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1 X+2  1  X  1  1  1  0  1 X+2  0  1  1  1  1  1  X X+2  1  1  1  1 X+2  1  2  1  1
 0  1  1  0 X+3  1  X X+1  1 X+2  1  3 X+3  2  1  3  1  1 X+2 X+1  1  0  1  1 X+3 X+2  X X+1 X+3  1  1 X+2  X X+3 X+2  1  2  X  2  0
 0  0  X  0 X+2  0  0  X  2  0  2  X  0  X  X  2 X+2  2  X  0  2 X+2  0  X X+2 X+2  0  0  X X+2  2 X+2  0 X+2  0  X X+2  X X+2  0
 0  0  0  X  0  0  X  X X+2  2  X  X  X  2 X+2  2  0 X+2 X+2  0  0  X  0  2  2  2 X+2  2 X+2  X  0  0  2  0  0 X+2  X  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  0  2  2  0  2  2  2  0  0  0  0  0  0  2  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  0  2  0  2  2  2  2  0  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  2  2  0  2  2  0  2  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  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+60x^32+80x^33+201x^34+390x^35+450x^36+602x^37+846x^38+1002x^39+1009x^40+914x^41+828x^42+702x^43+458x^44+302x^45+158x^46+78x^47+57x^48+22x^49+11x^50+4x^51+12x^52+4x^54+1x^56

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 2.19 seconds.