The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+116x^71+747x^72+1200x^73+1641x^74+1776x^75+2215x^76+2046x^77+1797x^78+1362x^79+1254x^80+888x^81+642x^82+322x^83+217x^84+74x^85+26x^86+22x^87+26x^88+5x^90+2x^91+4x^92+1x^94

The gray image is a code over GF(2) with n=616, k=14 and d=284.
This code was found by Heurico 1.16 in 3.29 seconds.