The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+180x^29+317x^30+534x^31+728x^32+702x^33+747x^34+442x^35+174x^36+132x^37+69x^38+46x^39+9x^40+10x^41+2x^42+2x^43+1x^50

The gray image is a code over GF(2) with n=264, k=12 and d=116.
This code was found by Heurico 1.16 in 87.2 seconds.