The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 14 12  1  1 12  1  0  1  8  1  1 14  1  2 10  1  0  6 12  1  1  1  1 12  1  6  1 14  1  6  2  1  6  1 14  1  1  1  1  1  1  6  1 10  1  1  1  8  1  6  0  1 14  1  1  2 10  0  1  1  4  1 14  1  1  1  1
 0  1  0  0  5 13  1  6  1  9  4  4  1  1 14  3  1 10 14 15  1 11 15  1  6  8  1  2  1  1  8 10  1  0  0  1 15 14 12  1 12  1 10 13  1  1 12 10 15  5  8 11  6 14  3  8  3  0  1  2 14  1  1 15  1  1 12  1  1  1 14  4 10  7  6 11  6  7  0
 0  0  1 11  7  4  7  1  1  2  6 13  6  5  5  1 15  6  1 12 14  3 14  8 15  1  1  0 10 11  1  5  0 10  0  7 15  1 15 12  7  5  1  9  6  8  1  4 14 15  8  6 15  1  4  1  0  9 10  1 10  9 15 13 14 15  7 12 12 10  0 10  1  0  1  8  3  3  8
 0  0  0 12 12  0 12  4  0 12  4  8  4  0 12 12  4  0  4  4  0  8  8 12  8  0 12  4  8  8  4  4  8  0  4  0 12  8  4  0  0  4  0  4 12  4 12 12  0  8  8 12  0 12  4  8  0 12  4  8  8  8 12  0  8  0  8  4  8 12  8  0 12  0  0 12  4  0  0

generates a code of length 79 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+136x^73+732x^74+1150x^75+1760x^76+1756x^77+2352x^78+1708x^79+1936x^80+1442x^81+1245x^82+826x^83+566x^84+288x^85+267x^86+88x^87+70x^88+26x^89+23x^90+4x^91+2x^92+5x^94+1x^96

The gray image is a code over GF(2) with n=632, k=14 and d=292.
This code was found by Heurico 1.16 in 3.36 seconds.