The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1 2X  1  0  1
 0  X  0  X 2X  0 3X  X 2X+2 3X+2 2X+2 3X+2  2 2X+2 X+2 3X+2  0 2X  X 3X 2X+2  0 X+2  2 X+2  2  2  2  X  X 3X+2 2X 2X
 0  0  X  X 2X+2 3X+2 3X+2 2X+2 2X+2 X+2  X 2X  0 3X+2 3X  2 2X X+2 3X  0 2X 3X 3X+2 2X+2 2X+2  X 3X+2 2X 2X 2X+2 3X  X 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+53x^30+132x^31+200x^32+294x^33+173x^34+104x^35+36x^36+14x^37+14x^38+2x^40+1x^60

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 0.031 seconds.