The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+10x^33+58x^34+16x^35+82x^36+36x^37+37x^38+13x^40+2x^41+1x^62

The gray image is a code over GF(2) with n=144, k=8 and d=66.
This code was found by Heurico 1.16 in 7.48 seconds.