The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  2  1  1  1  1  0  X  1 X^2+2  1  2  0
 0  X  0  X  2  0 X+2  X X^2 X^2+X X^2 X^2+X+2 X^2+2 X^2 X^2+X X^2+X  X X^2 X+2  2 X^2+X+2 X^2+2 X^2+X+2 X^2+X+2  0  0  X X+2  X  2 X+2  X  0
 0  0  X  X X^2 X^2+X X^2+X X^2 X^2  2  X X+2  0 X^2+X X^2+X+2 X^2+2  X X+2  X  X X^2+X  X  X X^2 X^2+X  0  2 X^2+X+2 X^2  X  0  X  X
 0  0  0  2  2  2  0  2  0  2  2  0  2  0  2  0  0  0  0  2  0  0  2  2  0  2  0  2  0  0  2  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+279x^30+160x^31+492x^32+320x^33+398x^34+160x^35+133x^36+91x^38+13x^40+1x^52

The gray image is a code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 15.6 seconds.