The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+92x^29+171x^30+176x^31+473x^32+242x^33+482x^34+170x^35+132x^36+80x^37+13x^38+4x^39+2x^40+2x^41+5x^42+2x^43+1x^50

The gray image is a code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 2.55 seconds.