The generator matrix

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

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+38x^28+36x^29+113x^30+268x^31+111x^32+760x^33+484x^34+40x^35+102x^36+36x^37+42x^38+12x^39+4x^40+1x^62

The gray image is a code over GF(2) with n=264, k=11 and d=112.
This code was found by Heurico 1.16 in 0.063 seconds.