The generator matrix

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

generates a code of length 33 over Z4[X]/(X^3+2,2X) 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 0.031 seconds.