The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+294x^36+298x^38+214x^40+112x^42+54x^44+34x^46+13x^48+4x^50

The gray image is a code over GF(2) with n=156, k=10 and d=72.
This code was found by Heurico 1.16 in 0.344 seconds.