The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  1  1  2  1  1  2  1  1  1  X  1  1  1  1  1  1
 0  X  0  0  0  X X+2  X  2  2  X  0  0  X X+2  X  0  2  0  2  0  0  2  0  2  0 X+2  X  X  X  X X+2  2 X+2  2  X X+2  2  0
 0  0  X  0  X  X  X  0  2  0 X+2  X X+2  0 X+2  0  0  2  X  X X+2  X  X  2  2  X  2  2  2 X+2  X  0  X  X  X  0 X+2  2 X+2
 0  0  0  X  X  0  X X+2  0  X  2  X  2 X+2  X  2  0 X+2 X+2 X+2  2  X  0  0  X X+2  2  0  X  X  2  X  X  X  0  X  0 X+2  0
 0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  2  0  0  0  0  2  0  2  2  2  2  2  0  2  0  0  0  0  2  2  2  2  2  2
 0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  2  2  2  0  2  0  2  2  2  2  0  0  2  2  2  0  0  2  0  2  2  2  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+70x^33+97x^34+118x^35+182x^36+162x^37+247x^38+330x^39+251x^40+154x^41+147x^42+122x^43+73x^44+62x^45+9x^46+6x^47+4x^48+12x^50+1x^68

The gray image is a code over GF(2) with n=156, k=11 and d=66.
This code was found by Heurico 1.16 in 0.941 seconds.