The generator matrix

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

generates a code of length 33 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+272x^30+884x^31+579x^32+936x^33+396x^34+616x^35+212x^36+104x^37+68x^38+20x^39+8x^40

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.