The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^24+120x^25+326x^26+876x^27+1921x^28+3116x^29+3586x^30+3106x^31+1914x^32+842x^33+294x^34+112x^35+59x^36+16x^37+14x^38+2x^39+6x^40+2x^41+4x^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 1.27 seconds.