The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+122x^26+766x^27+2785x^28+7324x^29+17312x^30+29694x^31+46654x^32+51828x^33+47258x^34+30998x^35+17211x^36+6612x^37+2564x^38+706x^39+225x^40+60x^41+8x^42+12x^43+4x^44

The gray image is a code over GF(2) with n=264, k=18 and d=104.
This code was found by Heurico 1.16 in 240 seconds.