The generator matrix

 1  0  1  1  1  4  1  1 12  1 12  1  1  1  4  2  1  1  1  1 14 12  1  1  1  1  2  0  1  1
 0  1  1  0  3  1  7  0  1 12  1  5 11  6  1  1  6 11  9  2  1  1  3 12  1  9  4  4  9 13
 0  0  2  0  0  0  8 14  6  6  6  2 14  6 10 14  2 14  0 12  6 12 10  4  6  4 14  2 10  4
 0  0  0  2  0  2 10  6  8  8  6 10 12  6  0 10 12  2  0  0 12 12  6  2 12  2 12 10  6  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  0  8
 0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  0  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+277x^24+720x^25+1548x^26+4192x^27+6867x^28+12144x^29+13764x^30+12440x^31+7092x^32+4192x^33+1388x^34+512x^35+249x^36+96x^37+36x^38+8x^39+10x^40

The gray image is a code over GF(2) with n=240, k=16 and d=96.
This code was found by Heurico 1.16 in 55.2 seconds.