The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+303x^28+1106x^29+2441x^30+3506x^31+6090x^32+6010x^33+6070x^34+3592x^35+2181x^36+938x^37+415x^38+70x^39+25x^40+10x^41+8x^42+2x^46

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 4.34 seconds.