The generator matrix

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

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+264x^28+1204x^29+2198x^30+4102x^31+5447x^32+6422x^33+5491x^34+4182x^35+1956x^36+1024x^37+344x^38+82x^39+36x^40+6x^41+7x^42+2x^43

The gray image is a code over GF(2) with n=264, k=15 and d=112.
This code was found by Heurico 1.16 in 4.59 seconds.