The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  2  8  1  1 10  1  1  2  1  6  1  1  1 14  8  2 12  1  1
 0  1  1  4  3  1  2  7  1  6  5  1  1 12 11  1  0 11  1  9  1 14 15 14  1  1  2  2  8  8
 0  0  2  2  0  2  2 10  0  0  8  2  4  8  4 14  6 10  4 14  6 12  0 10 12  4  2  6 12  4
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  0  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  8  0
 0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  8  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+189x^24+192x^25+1034x^26+1552x^27+4252x^28+5392x^29+7466x^30+5472x^31+4343x^32+1568x^33+942x^34+144x^35+162x^36+16x^37+30x^38+11x^40+2x^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 4.55 seconds.