The generator matrix

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

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+88x^33+242x^34+268x^35+305x^36+412x^37+499x^38+574x^39+460x^40+360x^41+353x^42+246x^43+122x^44+60x^45+45x^46+26x^47+7x^48+8x^49+13x^50+6x^51+1x^52

The gray image is a code over GF(2) with n=156, k=12 and d=66.
This code was found by Heurico 1.16 in 0.795 seconds.