The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+16x^13+94x^14+122x^15+380x^16+514x^17+870x^18+1190x^19+1422x^20+2590x^21+3496x^22+3876x^23+4028x^24+3572x^25+2924x^26+2540x^27+2044x^28+1388x^29+718x^30+450x^31+295x^32+106x^33+78x^34+14x^35+22x^36+6x^37+12x^38

The gray image is a code over GF(2) with n=48, k=15 and d=13.
This code was found by Heurico 1.16 in 13.3 seconds.