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

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+198x^32+64x^33+64x^34+192x^35+192x^37+64x^38+64x^39+176x^40+8x^48+1x^64

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 11 seconds.