The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+100x^28+144x^29+344x^30+412x^31+761x^32+664x^33+668x^34+448x^35+316x^36+120x^37+72x^38+4x^39+18x^40+20x^42+4x^44

The gray image is a code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 0.187 seconds.