The generator matrix

 1  0  1  1  1 3X+2  1  1  2  1  1 3X  1  1  0  1  1 3X+2  1  1  1  1  2 3X+2  1  1  1  1  1  1  1  1  1
 0  1 X+1 3X+2 2X+3  1  2 X+3  1 3X 2X+1  1  0 X+1  1 3X+2 2X+3  1  2 3X+2 X+1 2X+1  1  1 3X 3X  0  2 3X 3X+2 X+3 X+1  0
 0  0 2X  0  0  0  0 2X  0 2X 2X 2X  0  0  0 2X 2X 2X  0  0  0 2X 2X  0 2X  0 2X 2X  0  0  0 2X  0
 0  0  0 2X  0  0 2X 2X  0 2X  0 2X  0 2X 2X 2X  0  0 2X 2X  0 2X  0 2X  0 2X  0  0  0  0 2X  0  0
 0  0  0  0 2X  0 2X  0 2X 2X 2X 2X  0 2X  0  0 2X  0  0 2X 2X  0  0 2X  0 2X 2X  0 2X  0  0  0  0
 0  0  0  0  0 2X  0 2X 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X 2X 2X  0  0 2X  0  0  0 2X  0  0 2X  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+40x^28+156x^29+103x^30+800x^31+370x^32+1160x^33+374x^34+800x^35+99x^36+156x^37+27x^38+1x^40+5x^42+1x^44+2x^46+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 0.11 seconds.