The generator matrix

 1  0  1  1  1 3X+2  1  1  2  1  1 3X  1  1  0  1  1  1 3X+2  1  1  1  0 3X+2  1  1  1  1  1  1  1  1  1
 0  1 X+1 3X+2 2X+3  1  2 X+3  1 3X 2X+1  1  0 X+1  1 3X+2  2 2X+3  1 3X X+3 2X+1  1  1  0 3X+2 2X X+2  2 2X+2 X+1 2X+3  0
 0  0 2X  0 2X  0 2X  0 2X 2X  0 2X  0  0  0 2X 2X  0  0  0 2X 2X 2X 2X 2X  0 2X 2X  0  0  0  0  0
 0  0  0 2X 2X 2X 2X  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0  0 2X  0 2X  0 2X  0  0  0 2X  0  0 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+69x^30+156x^31+217x^32+136x^33+217x^34+156x^35+70x^36+1x^46+1x^50

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.