The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+157x^72+104x^73+329x^74+228x^75+498x^76+232x^77+257x^78+48x^79+108x^80+16x^81+52x^82+12x^83+4x^84+1x^86+1x^138

The gray image is a code over GF(2) with n=608, k=11 and d=288.
This code was found by Heurico 1.16 in 0.444 seconds.