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  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1
 0  X  0 X+2  0 X+2  0  X  0 X+2  0  X  0 X+2  2  X  2 X+2  2 X+2  2 X+2  2  X  0 X+2  2  X  2  X  2  X  0 X+2  0 X+2 X+2 X+2  0
 0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  2  2  0  2  0  0  2  0  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  0
 0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  0  2  2  0  0
 0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  0  2  0  0  2  2  0  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+18x^36+32x^37+13x^38+128x^39+13x^40+32x^41+17x^42+1x^46+1x^74

The gray image is a code over GF(2) with n=156, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0256 seconds.