The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  2  1  0  1  1  1  1  1 X+2  X  1  X  1  1  1  1  1  1  1 X+2  1  1  1  2
 0  1  0  0  1  1  1  2  0  0  1  1  1  1  1  X X+3 X+1  3  2  X  1 X+2  2  1 X+3 X+3 X+3  X  0  0  1  1 X+2  X  1
 0  0  1  1  2  3  1  1  0  1  2  2  3  3  1  2  1  X  X X+3  1  0  3  1  X  3 X+1  0 X+3  X X+2  2 X+3  3  X  1
 0  0  0  X  0  X  X  X X+2  2  X X+2  0  2 X+2  X X+2 X+2  0  2  0  2 X+2  0  X  2  0  X  2  0 X+2 X+2 X+2  X X+2  X

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+342x^32+520x^34+464x^36+372x^38+246x^40+64x^42+32x^44+4x^46+3x^48

The gray image is a code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.11 in 0.181 seconds.