The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1 2X  1  1  1  1  2  X 2X+2  2  1  1  1  1  0  1
 0  X  0  X  0 2X 3X+2  X 2X+2 3X+2 2X+2 X+2 2X+2  2 3X  2 3X+2 3X 2X+2 2X 3X+2 2X+2 X+2 2X  X  X  X 3X+2 X+2  2 2X+2 2X+2  0
 0  0  X  X  2 X+2 3X+2 2X+2  2 2X  0  2  X 3X+2 3X 3X  0 3X+2  X  X X+2 3X 2X  X 2X+2  X 3X+2 3X 2X+2 3X+2  2 2X  0
 0  0  0 2X  0  0  0 2X 2X 2X 2X  0 2X 2X  0  0 2X 2X  0  0  0  0 2X 2X  0  0  0 2X 2X  0 2X  0 2X
 0  0  0  0 2X 2X  0  0  0 2X 2X 2X  0 2X  0 2X  0  0  0 2X 2X 2X  0 2X  0 2X  0 2X 2X 2X 2X  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+50x^28+192x^29+286x^30+460x^31+701x^32+782x^33+721x^34+432x^35+192x^36+142x^37+78x^38+36x^39+14x^40+2x^41+2x^42+2x^44+2x^45+1x^50

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 0.156 seconds.