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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+51x^32+224x^34+43x^36+128x^38+12x^40+32x^42+20x^44+1x^68

The gray image is a code over GF(2) with n=144, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0283 seconds.