The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^30+416x^31+390x^32+374x^33+293x^34+256x^35+108x^36+62x^37+8x^38+12x^39+12x^40+1x^44+1x^46

The gray image is a code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 0.047 seconds.