The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  0  1  1  X  X  1  1  1 X+2  1  1  1  1  X X+2  1 X+2  1  1  1  1  1  1  1  1
 0  1  0  0  3  3  1 X+2  2  1  1  1 X+2 X+1  1 X+2 X+3  3  2  1  X X+3  X  0  1 X+2  0  1  1  2 X+1 X+2  2  3 X+1 X+1
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  X X+1  2 X+2  1  1  X X+2  1 X+2 X+3  0 X+1  3  1  3  X  0  2  1 X+3  1  1 X+2  X
 0  0  0  2  2  0  2  2  2  0  0  2  0  2  2  2  0  0  0  2  2  0  0  0  0  0  2  0  2  2  2  2  0  2  2  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+200x^33+108x^34+276x^35+88x^36+132x^37+24x^38+64x^39+6x^40+72x^41+28x^42+12x^43+12x^45+1x^48

The gray image is a code over GF(2) with n=144, k=10 and d=66.
This code was found by Heurico 1.16 in 45.4 seconds.