The generator matrix

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

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+46x^30+172x^31+237x^32+216x^33+94x^34+172x^35+66x^36+16x^37+4x^46

The gray image is a code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.016 seconds.