The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1 2X 2X 2X  1  1  1  1  1  X  1  1  X  1  X  1  1
 0  X  0 X+2 2X 3X+2  0  X 2X+2 X+2  2 3X  2  2  X X+2  X  X  X  X 2X 2X 2X 2X+2 3X+2 3X+2 3X+2  0 3X+2 3X+2 3X 3X+2 2X+2
 0  0  2  0 2X  2  2 2X+2 2X+2 2X+2 2X 2X+2 2X+2  0 2X  0 2X  2  0  2  0 2X+2  0  2  2 2X  0  2 2X+2 2X 2X 2X+2  2
 0  0  0  2  2 2X+2  2 2X  0  0  2  2 2X+2 2X 2X 2X 2X+2 2X  2 2X+2 2X+2 2X 2X  2  2  0  0 2X  2  2 2X  2  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+86x^29+90x^30+370x^31+240x^32+520x^33+221x^34+352x^35+73x^36+64x^37+8x^38+10x^39+5x^40+1x^42+4x^43+2x^45+1x^52

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 0.078 seconds.