The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  X 2X+2  1  1  X  1  1 2X+2 2X+2  X
 0  2  0  2  0  2  0 2X+2 2X  2  0  2  2  0  2 2X 2X+2  0 2X  2 2X+2  0  0  2  2  0 2X 2X 2X 2X+2  2  0  2
 0  0 2X  0  0  0  0  0 2X  0  0 2X 2X 2X 2X 2X 2X  0  0  0 2X  0 2X  0 2X  0  0 2X  0  0 2X 2X  0
 0  0  0 2X  0  0  0 2X  0  0  0 2X  0  0 2X  0 2X 2X 2X  0  0  0 2X 2X  0 2X  0 2X 2X 2X 2X  0  0
 0  0  0  0 2X  0  0  0  0 2X 2X  0 2X  0 2X 2X 2X 2X  0  0 2X  0  0 2X 2X  0 2X  0  0 2X  0 2X  0
 0  0  0  0  0 2X  0 2X  0 2X 2X  0  0 2X 2X 2X  0 2X  0  0 2X 2X 2X  0  0 2X 2X 2X 2X 2X  0  0  0
 0  0  0  0  0  0 2X  0 2X  0 2X  0  0  0  0 2X  0  0  0 2X 2X 2X 2X 2X 2X 2X  0 2X  0 2X 2X  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+100x^28+16x^29+104x^30+192x^31+201x^32+864x^33+164x^34+192x^35+111x^36+16x^37+48x^38+30x^40+4x^42+4x^44+1x^52

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 0.39 seconds.