The generator matrix

 1  0  1  1  1  4  1  1  2  1  2  1  0  1  1  1  1  1  1  1  1 10 12  4  1  1  1  1  1  1
 0  1  1  0  3  1  2  5  1 14  1  7  1  9 11  3 12  1  4  2  8  1  2  1  8  7 13  3 12  0
 0  0  2  6  0  2  2  4  6  8  0  2  4  6 14 12  6 12  4  0 10 14  6 12  0  8 12 10 14  4
 0  0  0 12  0  0  8  4  4  4  4  8 12  0  4  4  0  8  8 12  0  0  8  0 12  4  4 12  0 12
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  8  8  0  0  8  8  0  8
 0  0  0  0  0  8  0  0  8  0  0  8  8  0  0  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+165x^24+208x^25+1015x^26+1348x^27+4228x^28+5588x^29+7645x^30+5704x^31+4252x^32+1240x^33+915x^34+244x^35+175x^36+4x^37+23x^38+10x^40+2x^42+1x^44

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 4.71 seconds.