The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+467x^76+1728x^77+3731x^78+5016x^79+8136x^80+10674x^81+13444x^82+14322x^83+16140x^84+14990x^85+13673x^86+10058x^87+8091x^88+4840x^89+2906x^90+1450x^91+809x^92+300x^93+126x^94+80x^95+46x^96+22x^97+8x^98+6x^100+6x^101+2x^103

The gray image is a code over GF(2) with n=672, k=17 and d=304.
This code was found by Heurico 1.16 in 206 seconds.