The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^24+48x^25+388x^26+816x^27+2169x^28+2976x^29+3473x^30+2976x^31+2134x^32+816x^33+331x^34+48x^35+87x^36+31x^38+5x^40+1x^42

The gray image is a code over GF(2) with n=240, k=14 and d=96.
This code was found by Heurico 1.16 in 1.34 seconds.