The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1 12  8  2  2  1  1  2  8  1  1  2  0  0  1 12 12  2
 0  2  0  2  0  8  6 14  0  0  2 14  8  2 12 12 14  0  6 12  2 14 10  6  2  4  0  8  2 14
 0  0  2  2  0  6 14  8  0  2 14  0 10  8  2  2  4 12  0 10  6  8  6 10 12  2 10  2  4  8
 0  0  0  4  0  0 12  0 12 12  8  4 12 12  4 12  8 12 12  0  0  8 12  4 12  8  0  8  4 12
 0  0  0  0 12  4  4  4 12  8 12  0 12  4  4  8  8  0  4  8  4  8  4  8  8  4  4 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+120x^24+216x^25+798x^26+984x^27+2015x^28+2360x^29+3340x^30+2432x^31+2130x^32+984x^33+632x^34+168x^35+141x^36+24x^37+28x^38+9x^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 1.94 seconds.