The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+125x^24+390x^25+1188x^26+2212x^27+3387x^28+5848x^29+6360x^30+5902x^31+3686x^32+2142x^33+943x^34+360x^35+157x^36+36x^37+20x^38+6x^39+4x^40+1x^50

The gray image is a code over GF(2) with n=240, k=15 and d=96.
This code was found by Heurico 1.16 in 4.55 seconds.