The generator matrix

 1  0  1  1  1 10  1  1  4  1  6  1  1  1  1 14  1 12  1  1  1  1  2  4  1  2 10  1  2  1
 0  1  1  4 11  1 10  5  1  6  1  7 13  7 12  1  6  1  2  3 10 11 10  2  6  4  1 13  2  0
 0  0  2  2  4 14  6  8  2  0  8  2  4 12  6  4 14  8 10  0  8  2  6  2  4  2  0 12  2  0
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  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+39x^24+170x^25+533x^26+1122x^27+1949x^28+3000x^29+2941x^30+2864x^31+1908x^32+1090x^33+481x^34+170x^35+67x^36+28x^37+11x^38+4x^39+4x^40+2x^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 1.13 seconds.