The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 14  8  1  2  1  4  1  1 10  1  1  1  1  1  1  0  2 14  1
 0  1 11  6 13  1  0  7  1 14  5  1  1  3  1 10  1  2  9  1 15  4 11 10  8 14  1 14  1 14
 0  0 12  0  4  0 12 12  8  4  8 12  4  8  4  0  4 12  8  0  0 12 12  0 12 12  8  4  4  4
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  8  0  8  8  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  8  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+61x^24+174x^25+224x^26+1070x^27+1882x^28+3102x^29+3375x^30+3134x^31+1859x^32+1066x^33+214x^34+138x^35+30x^36+10x^37+24x^38+10x^39+7x^40+2x^42+1x^46

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 1.28 seconds.