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 X^2  1  X
 0  X  0 X^2+X X^2 X^2+X+2 X^2+2  X  0 X^2+X  2 X+2 X^2+2 X^2+X X^2+2  X  0 X^2+X X^2+2 X^2 X+2 X^2+X  2 X+2 X^2 X^2+X  2  0 X+2 X^2  0 X^2 X^2+X+2
 0  0 X^2+2  0 X^2+2 X^2  0 X^2  2  2 X^2 X^2+2 X^2 X^2+2  2  2  0  0  0 X^2 X^2+2 X^2  2 X^2  2 X^2+2 X^2 X^2  0 X^2+2 X^2+2 X^2 X^2
 0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  2  0  0  0  0  2  2  0  0  2  2  2  2  0  2  0  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+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 0.047 seconds.