The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  2  1  1 12  2  2  8  4  1  0  1 12  1  2
 0  2  0  0  0  2  6 14  0  8  0  0  6 12 14  2  4  6 10  2 12 10  2  2 10  2  8  2  0 12
 0  0  2  0  2  2  2  0  4 14  8 14 10  2 12 12  8  8  6 14 14  8 10  6 14 10  4 10 14  6
 0  0  0  2  2  0  2 10  8  2 14  4  4  6 10  2  6  0  2  6 10 14 14  4  0  4 12 12  8  6
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+276x^24+572x^25+1238x^26+1932x^27+3469x^28+5368x^29+6960x^30+5496x^31+3504x^32+2060x^33+1128x^34+380x^35+263x^36+64x^37+48x^38+7x^40+2x^42

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 7.22 seconds.