The generator matrix

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

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+156x^29+701x^30+1162x^31+1364x^32+1606x^33+1432x^34+908x^35+482x^36+232x^37+98x^38+26x^39+17x^40+6x^41+1x^46

The gray image is a code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 0.313 seconds.