The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+254x^27+1296x^28+4096x^29+8857x^30+15200x^31+21848x^32+27042x^33+23170x^34+15674x^35+8228x^36+3660x^37+1271x^38+356x^39+81x^40+18x^41+12x^42+4x^43+2x^44+2x^46

The gray image is a code over GF(2) with n=264, k=17 and d=108.
This code was found by Heurico 1.16 in 61.1 seconds.