The generator matrix

1 0 0 0 1 1 1 1 2 1 0 1 2 1 0 0 1 0 1 1 1 2 0 2 0 1 2 1 2 1 1 1 1
0 1 0 0 0 0 1 1 1 2 2 1 1 1 1 1 2 2 3 2 1 0 0 0 1 0 1 3 1 1 0 1 1
0 0 1 0 1 0 2 3 1 1 1 0 2 0 3 1 1 2 3 0 3 1 1 1 0 0 2 1 0 3 2 1 1
0 0 0 1 1 3 3 1 0 2 1 0 1 3 1 0 2 1 1 1 0 2 3 2 3 2 0 0 3 2 3 1 1
0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0

generates a code of length 33 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+40x^28+152x^30+112x^32+74x^34+45x^36+46x^38+19x^40+14x^42+7x^44+2x^46

The gray image is a code over GF(2) with n=66, k=9 and d=28.
This code was found by Heurico 1.10 in 0.016 seconds.