The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1 X+2  X  1  1  1  2  1 X+2  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  0  X
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  2 X+3 X+2  1 X+2  1  1 X+3 X+3 X+1  1  3 X+1  3 X+1  3 X+1  3  0  0  X  0  X
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  0  2 X+2  0  0 X+2  2  X X+2 X+2  X X+2  0  2  2  0 X+2 X+2  2  2  0  X  X
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0  2  2  2  2  0  2  0  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+124x^36+160x^38+106x^40+96x^42+19x^44+5x^52+1x^56

The gray image is a code over GF(2) with n=156, k=9 and d=72.
This code was found by Heurico 1.16 in 0.0313 seconds.