The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+140x^24+284x^25+600x^26+1204x^27+1638x^28+3032x^29+2396x^30+3288x^31+1733x^32+1148x^33+496x^34+244x^35+122x^36+16x^37+28x^38+14x^40

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 1.85 seconds.