The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  1 10  1  1  8  1  1  1  1 12 10  1  2  4  1  1
 0  1  1  0 11  1 14 15  1  1  2 13 15  0  1  1 10  7  1 15  9  4 12  1  1 11  0  1  7  0
 0  0  2  6  0  2  8  2  6  0  2  4  6  0  8 14  2  4 14 10  6 14  8 12  2 12 10  8  2  0
 0  0  0 12  0  0  0  0  0  0  4  8 12  4 12  4  8 12  4 12  8  8  8 12 12  0  0 12  0  8
 0  0  0  0 12 12  4  4  8 12  4  8  4 12  8 12  4 12  0  8  8 12  8  0  8 12  0 12  8  0

generates a code of length 30 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+129x^24+272x^25+866x^26+1664x^27+4130x^28+5452x^29+7686x^30+5536x^31+4187x^32+1704x^33+750x^34+192x^35+118x^36+28x^37+42x^38+11x^40

The gray image is a code over GF(2) with n=240, k=15 and d=96.
This code was found by Heurico 1.16 in 4.78 seconds.