The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2  1  1  0  1  1 X+2  1  1  1  1  2  X  1  1  1  1  1  1  0  2 X+2  1  X  1
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  1  0 X+1  1 X+2  3  1  2  X X+3  1  1  1  0  0  0  3  3  3  1  1  1  3  1  0
 0  0  X  0 X+2  0  X  2  X  X  2 X+2  0  0  0  2  2  2 X+2  X X+2 X+2 X+2 X+2  0 X+2  2  2  0  X  0  0  X X+2  X  X
 0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  0  2  0  0  2  0  2  0  0  0  0  0  2
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  0  2  0  2  2  0  2  2  2  0  2  2  0  0  0  0
 0  0  0  0  0  2  2  2  0  0  0  0  2  2  0  2  0  2  0  2  2  2  2  2  0  0  0  0  2  0  2  0  2  2  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+429x^32+192x^34+844x^36+192x^38+348x^40+36x^44+6x^48

The gray image is a code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 47.5 seconds.