The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1  0  X  1  1 X+2  X  1  X  1 X+2  1  1  0  1  1  1  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1  X X+2 X+3  1 X+2  2 X+1  0  1  3  X  X X+2 X+3  X  1  2 X+1 X+2  0 X+3
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  2 X+2 X+1  1  2  1  3  X  1 X+1 X+1  1  3  1 X+1 X+1  1  1 X+3  X X+3  X
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  2  2  0  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  2  2  2  0  0  2  0  0  2  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+309x^32+526x^34+543x^36+324x^38+233x^40+78x^42+33x^44+1x^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 0.128 seconds.