The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  X  1  X  1  1  1  0  2  1  1  2  1  1  X X+2  2  1  1  1  1  X  0  X  1  1  1  0  1
 0  1  0  0  1 X+3  1  2  3  1 X+2  X X+3  1  X X+1  1  1  1  X  X  2  X  2  1  1  1  2  0 X+1  3  0  2  1 X+1 X+2  2  1  0
 0  0  1  1 X+1  0  1  1 X+3  X X+2  1  0 X+1  1 X+2  1 X+2 X+1  X X+1  1  3 X+3  3  X  X  1  2 X+1  2  1  1 X+2 X+3 X+1 X+3  1  0
 0  0  0  X  X X+2  2  2  2  X  X  X  2 X+2  2 X+2  0 X+2  X  0  X X+2  X  0  2  2  2  2  0 X+2 X+2  X  X X+2  X  2  0  X  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  0  2  2  2  2  2  0  0
 0  0  0  0  0  2  2  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  0  0  2  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+56x^32+214x^33+302x^34+588x^35+613x^36+946x^37+825x^38+1170x^39+838x^40+898x^41+620x^42+572x^43+234x^44+174x^45+70x^46+36x^47+17x^48+8x^49+6x^50+1x^52+1x^54+2x^55

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 1.74 seconds.