The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+111x^24+80x^25+248x^26+592x^27+926x^28+1376x^29+1550x^30+1376x^31+919x^32+592x^33+222x^34+80x^35+82x^36+26x^38+9x^40+2x^42

The gray image is a code over GF(2) with n=240, k=13 and d=96.
This code was found by Heurico 1.16 in 0.505 seconds.