The generator matrix

 1  0  0  0  1  1  1  1  2  1  X  0  1  0  1  1  0  2  1  1  1 X+2  1 X+2  1  1  1  1  2  1  1  1 X+2  1  X X+2 X+2  0  1
 0  1  0  0  0  2  1  3  1  2  X  1 X+3  1  1  2  1  0 X+3 X+2 X+2  0  1  1 X+1 X+1  1 X+2 X+2  3 X+2  X  1  0  2 X+2  1  1  0
 0  0  1  0  0  1  3  2  1 X+1  1  X  X  1 X+3  X  3  X  1  1 X+1  1  X  1 X+3  1  2  2  1  2  2  3 X+2  3  X  1  1 X+2  2
 0  0  0  1 X+1 X+1  2 X+3 X+3  X X+1 X+1  0  X  3  1  3  1 X+3  3 X+2  X  X  2  2 X+2  1 X+2  X X+3  0  X X+1  1  1  1  0  0  1
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  2  0  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 33.

Homogenous weight enumerator: w(x)=1x^0+184x^33+391x^34+582x^35+762x^36+854x^37+927x^38+934x^39+950x^40+790x^41+657x^42+522x^43+316x^44+186x^45+69x^46+42x^47+17x^48+2x^49+4x^50+2x^52

The gray image is a code over GF(2) with n=156, k=13 and d=66.
This code was found by Heurico 1.13 in 0.619 seconds.