The generator matrix

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

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+116x^33+53x^34+84x^35+35x^36+84x^37+18x^38+84x^39+18x^40+8x^41+1x^42+8x^43+1x^48+1x^52

The gray image is a code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.16 in 0.349 seconds.