The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+364x^33+660x^34+852x^35+827x^36+424x^37+454x^38+272x^39+99x^40+124x^41+4x^42+12x^43+1x^44+2x^46

The gray image is a code over GF(2) with n=288, k=12 and d=132.
This code was found by Heurico 1.16 in 0.078 seconds.