The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  0  1  1 12  1  1 10 12  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1  0  3  1 12 15  1  9 12  1  1  3  3
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  8  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+24x^25+74x^26+248x^27+547x^28+688x^29+945x^30+688x^31+534x^32+248x^33+65x^34+24x^35+1x^36+3x^38+5x^40+1x^42

The gray image is a code over GF(2) with n=240, k=12 and d=100.
This code was found by Heurico 1.16 in 0.108 seconds.