The generator matrix

 1  0  1  1  1  0  1 X+2  1  1 X+2  1  1  2  1  1  1  2  X  0  1  1  1  X  1  1  1  1  1  1  0  0  1  0  1  1
 0  1  1  0 X+3  1  X  1 X+3  X  1  1  2  1  0 X+1 X+3  1  1  1  3 X+2  0  1  1 X+2  1  1 X+3  X  1  1 X+3  1  2  X
 0  0  X  0 X+2  X  0  X  0  X  2  0  X  0 X+2  2  X  X X+2  2  2 X+2  2  2 X+2  0  X X+2  X  2 X+2  2 X+2 X+2  X  X
 0  0  0  X  0  X  X  X X+2  0  2 X+2  2  X  X  2 X+2  2  2  X  0 X+2  X  X  X  0  2  0  0  0 X+2  0  0  2  X  2
 0  0  0  0  2  2  2  0  2  2  2  0  0  0  0  0  0  0  2  2  0  0  2  0  0  2  2  2  0  2  0  2  0  2  2  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+386x^32+320x^34+682x^36+320x^38+292x^40+38x^44+9x^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 15.8 seconds.