The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^23+191x^24+314x^25+429x^26+582x^27+751x^28+994x^29+1198x^30+1328x^31+1422x^32+1552x^33+1586x^34+1488x^35+1336x^36+1008x^37+740x^38+568x^39+361x^40+198x^41+137x^42+74x^43+31x^44+30x^45+6x^46+4x^47+1x^48+2x^52

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 23.8 seconds.