The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+306x^73+692x^74+1192x^75+1318x^76+2002x^77+1952x^78+2068x^79+1884x^80+1684x^81+1162x^82+1018x^83+472x^84+272x^85+112x^86+76x^87+46x^88+66x^89+30x^90+10x^91+4x^92+6x^93+4x^94+4x^95+1x^100+1x^104+1x^108

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 43.2 seconds.