The generator matrix

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

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+24x^32+170x^33+443x^34+490x^35+740x^36+774x^37+1166x^38+762x^39+1002x^40+762x^41+818x^42+440x^43+302x^44+140x^45+94x^46+34x^47+9x^48+8x^49+7x^50+2x^51+2x^52+2x^53

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 1.83 seconds.