The generator matrix

 1  0  0  1  1  1 10  1  1  4  1 14  1  1 12  1  6 14  1  1  6  1 10  1  1 14  8  8  1  1
 0  1  0  4  5 11  1  2  7  1 12  4 14  3  1  1  6  1 14  9  1  2 14  7  0  1  1  4 10  0
 0  0  1  7  3  4  5  2  1  1  5  1  4  6  6  1  1  7  7  0  0  7  1  3 11  3 11  1  2  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  0  8  8  8  0  8  8  0
 0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  8

generates a code of length 30 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+40x^25+467x^26+942x^27+2270x^28+2806x^29+3563x^30+2664x^31+2177x^32+860x^33+417x^34+102x^35+58x^36+6x^37+1x^38+4x^39+6x^40

The gray image is a code over GF(2) with n=240, k=14 and d=100.
This code was found by Heurico 1.16 in 1.01 seconds.