The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+86x^16+134x^17+321x^18+320x^19+484x^20+650x^21+667x^22+942x^23+878x^24+942x^25+824x^26+678x^27+510x^28+302x^29+220x^30+106x^31+83x^32+20x^33+15x^34+2x^35+6x^36+1x^38

The gray image is a code over GF(2) with n=48, k=13 and d=16.
This code was found by Heurico 1.16 in 1.93 seconds.