The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+105x^32+16x^33+198x^34+96x^35+509x^36+240x^37+766x^38+320x^39+720x^40+240x^41+402x^42+96x^43+296x^44+16x^45+42x^46+20x^48+11x^52+2x^56

The gray image is a code over GF(2) with n=156, k=12 and d=64.
This code was found by Heurico 1.16 in 0.508 seconds.