The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  0  X  1  0  1  1  X  1  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0  2  X  0  2 X+2 X+2 X+2  X  0 X+2  0  2  2  2 X+2  2  X X+2  2  X  0 X+2 X+2  0  2
 0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  0  2  0  2  0  2  2  0  2  0  2  2  0  0  2  2  2  2  0
 0  0  0  2  0  0  0  2  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  2  0  0  0  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  2  0  0  2  0  0  2  2  2  0  2  0  0  2  0  2  0  0  2  2  0  2  0
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  2  0  0  2  0  2  2  0  0  2  0  0  2  2  0  2  2  0  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  0  0  2  0  0  2  0  2  0  0  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+44x^33+28x^34+24x^35+86x^36+116x^37+150x^38+144x^39+148x^40+116x^41+70x^42+24x^43+16x^44+44x^45+2x^46+3x^48+6x^50+1x^52+1x^68

The gray image is a code over GF(2) with n=156, k=10 and d=66.
This code was found by Heurico 1.16 in 45.6 seconds.