The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+288x^30+128x^31+478x^32+256x^33+524x^34+128x^35+203x^36+35x^38+5x^40+1x^44+1x^54

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 0.187 seconds.