The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  2  1  X
 0  X  0 X+2  2 3X+2 2X+2  X  0 X+2 2X 3X 2X+2 X+2 2X+2  X  0 X+2 2X+2  2 3X X+2 2X 3X  2 X+2 2X  0 3X  2  0  2 3X+2
 0  0 2X+2  0 2X+2  2  0  2 2X 2X  2 2X+2  2 2X+2 2X 2X  0  0  0  2 2X+2  2 2X  2 2X 2X+2  2  2  0 2X+2 2X+2  2  2
 0  0  0 2X 2X  0 2X 2X  0 2X  0 2X 2X  0 2X  0 2X  0  0  0  0 2X 2X  0  0 2X 2X 2X 2X  0 2X  0 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+79x^30+56x^31+273x^32+272x^33+214x^34+56x^35+37x^36+27x^38+8x^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 0.032 seconds.