The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  X  1  2  1  1  X  1  1  X X+2  1  X  0  1  1  1  1  2 X+2  1  X  1 X+2  0  1
 0  1  0  0  3 X+1  1  2  0  0 X+3  1  1  1  3  X  1 X+2  2  1  2  1  1  X  0 X+2  3  1  2 X+2 X+1  1  X  1  1  3
 0  0  1  1  3  2  3  1  2 X+1 X+3  2  2  1  1  1  2  X X+2 X+1  1  2 X+1  1 X+2 X+1  X  X  1  1  2  3  2 X+2  3 X+1
 0  0  0  X  X  0  X  X X+2  2  0 X+2  X  2 X+2  0  2  0 X+2  X  2  0  0  2  2 X+2 X+2  X X+2 X+2  2  0  X X+2  X  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+336x^32+464x^34+558x^36+368x^38+220x^40+64x^42+34x^44+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 1.16 in 2.86 seconds.