The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1 X+2  1  1  2  1  1  X  1  X  1  1  1  1  1  1  1  1  2  0  1  0  X
 0  1 X+1 X+2  1  1 X+1  0  1 X+2  3  1  0 X+1  1 X+2  3  1  2 X+3  1  X  3  1  0  0 X+2  2 X+2  2  X  2 X+2 X+1  1  2 X+1  1  0
 0  0  2  0  0  0  0  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  2  2  0  2
 0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  0  2  0  0  2  0  2  0  2  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2
 0  0  0  0  2  0  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0  0  2  0  0  2  0  2  0  0  0  2  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+127x^36+164x^38+109x^40+68x^42+30x^44+8x^46+2x^48+2x^52+1x^60

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 0.0605 seconds.