The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1 2X  1  1  1  1 2X  X  1  2  1 2X+2  0
 0  X  0  X 2X  0 3X  X  2 X+2  2 3X+2 2X+2  2 X+2 X+2  X  2  X 2X X+2 2X+2 X+2 3X+2  0 2X  X 3X 2X+2  0 2X+2  X  0
 0  0  X  X  2 X+2 X+2  2  2 2X  X 3X  0 X+2 3X+2 2X+2  X  X 3X+2 3X 3X  X 3X+2 2X+2 3X+2 2X+2  2 3X+2  2  X  0 3X+2  X
 0  0  0 2X 2X 2X  0 2X  0 2X 2X  0 2X  0 2X  0  0  0 2X 2X 2X 2X  0 2X  0  0 2X 2X 2X 2X  0 2X 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+303x^30+80x^31+596x^32+224x^33+502x^34+80x^35+157x^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 15.5 seconds.