The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  0  1  1  1  2  1  X X+2  1  1  1  1  X  X  2  1  0  1  1  1 X+2  1  X  1  2  1
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  0  1 X+1  3  2  1  0  1  1 X+1  2  1  X  1  1  1 X+3  1  X X+3 X+3  1  3  X  2  0  1
 0  0  X  0  0  0  0  0  0  2  2  X  X  X  0 X+2  X X+2 X+2 X+2  2 X+2  0  2 X+2 X+2  2 X+2  0  2  2 X+2 X+2  X  2 X+2 X+2  X  X
 0  0  0  X  0  0  X  2  X  2 X+2  0  0  0 X+2 X+2 X+2 X+2  X  2  X  0  2  X  2 X+2  2  0  2 X+2 X+2  X  2  X X+2  X  2 X+2 X+2
 0  0  0  0  X  0  0  X  2  2  0  2 X+2  X X+2  2 X+2  X  0  2 X+2 X+2 X+2  2  0  2  X  0  2 X+2  X  X  X  0  0 X+2  X  0 X+2
 0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  2  2  2  2  0  0  2  2  0  0  0  2  0  2  0  2  2  2  2  0  0  2  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+146x^32+84x^33+511x^34+376x^35+764x^36+600x^37+1186x^38+900x^39+1151x^40+708x^41+770x^42+320x^43+347x^44+80x^45+170x^46+4x^47+54x^48+19x^50+1x^52

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 2.12 seconds.