The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^24+148x^25+221x^26+328x^27+436x^28+496x^29+566x^30+642x^31+727x^32+776x^33+719x^34+800x^35+646x^36+504x^37+400x^38+252x^39+183x^40+116x^41+75x^42+24x^43+30x^44+8x^45+2x^46+2x^47+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 1.10 in 1.41 seconds.