The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^28+180x^29+150x^30+120x^31+73x^32+20x^33+22x^34+58x^36+108x^37+82x^38+72x^39+46x^40+12x^41+2x^42

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 0.231 seconds.