The generator matrix

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

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+110x^29+259x^30+658x^31+804x^32+596x^33+746x^34+522x^35+188x^36+138x^37+31x^38+18x^39+13x^40+4x^41+4x^42+2x^43+2x^44

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 0.11 seconds.