The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+183x^76+256x^77+752x^78+992x^79+1623x^80+1600x^81+1876x^82+1984x^83+1852x^84+1600x^85+1538x^86+992x^87+662x^88+256x^89+116x^90+32x^92+22x^94+16x^96+12x^98+12x^100+4x^102+1x^104+1x^112+1x^116

The gray image is a code over GF(2) with n=664, k=14 and d=304.
This code was found by Heurico 1.16 in 17.8 seconds.