The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+83x^24+138x^25+251x^26+330x^27+415x^28+496x^29+551x^30+666x^31+721x^32+822x^33+725x^34+718x^35+674x^36+482x^37+380x^38+302x^39+195x^40+104x^41+71x^42+32x^43+23x^44+6x^45+5x^46+1x^50

The gray image is a code over GF(2) with n=66, k=13 and d=24.
This code was found by Heurico 1.16 in 3.41 seconds.