The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+236x^30+878x^31+708x^32+828x^33+490x^34+530x^35+181x^36+144x^37+73x^38+20x^39+6x^40+1x^42

The gray image is a code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 0.078 seconds.