The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+250x^31+228x^32+210x^33+109x^34+116x^35+42x^36+58x^37+3x^38+6x^39+1x^44

The gray image is a code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 123 seconds.