The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  1  X  0  1  1  1  X  X  1  0  1  1
 0  X  0  0  0  0  0  0  0  X X+2  X  2  2  X  0  2  X X+2  2  X X+2  2  X  X  2  2  X X+2  2  0  0 X+2 X+2 X+2  X  0  0  X
 0  0  X  0  0  0  X X+2  X  X  X  0  0  X  2  X  2  X X+2  2 X+2  0 X+2 X+2  2  0  X  0  2  X  2  0  0  2 X+2  0  0  0  2
 0  0  0  X  0  X  X  X  2  0  0  2  2  2 X+2 X+2  2 X+2 X+2 X+2  X  X  0  0  X X+2  0  0 X+2  0  2 X+2  2  X  0  X  0 X+2  0
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0 X+2  X  2  X  X  2 X+2  0  0  X  2  2 X+2  2  0  X  0  X X+2  2  0 X+2  0  X  X X+2
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  0  0  0  2  0  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  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+142x^32+334x^34+88x^35+448x^36+232x^37+606x^38+368x^39+694x^40+272x^41+410x^42+56x^43+265x^44+8x^45+106x^46+43x^48+16x^50+6x^52+1x^60

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 0.632 seconds.