The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+226x^28+100x^30+263x^32+86x^34+196x^36+42x^38+80x^40+26x^42+2x^44+2x^46

The gray image is a code over GF(2) with n=66, k=10 and d=28.
This code was found by Heurico 1.16 in 5.75 seconds.