The generator matrix

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

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+193x^32+68x^33+534x^34+216x^35+966x^36+436x^37+1398x^38+600x^39+1452x^40+460x^41+864x^42+200x^43+520x^44+60x^45+136x^46+8x^47+66x^48+10x^50+2x^52+2x^54

The gray image is a code over GF(2) with n=156, k=13 and d=64.
This code was found by Heurico 1.16 in 2.17 seconds.