The generator matrix

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

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+532x^30+352x^31+980x^32+464x^33+970x^34+320x^35+372x^36+16x^37+61x^38+21x^40+4x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 139 seconds.