The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+68x^23+185x^24+270x^25+462x^26+594x^27+758x^28+920x^29+1198x^30+1422x^31+1413x^32+1600x^33+1531x^34+1424x^35+1346x^36+1044x^37+758x^38+540x^39+335x^40+242x^41+134x^42+46x^43+56x^44+20x^45+12x^46+2x^47+2x^48+1x^50

The gray image is a code over GF(2) with n=66, k=14 and d=23.
This code was found by Heurico 1.16 in 25.1 seconds.