The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+100x^80+468x^81+678x^82+1186x^83+1457x^84+1946x^85+1526x^86+2062x^87+1672x^88+1722x^89+1198x^90+1070x^91+539x^92+298x^93+151x^94+134x^95+67x^96+34x^97+23x^98+24x^99+3x^100+12x^101+6x^102+4x^103+1x^106+1x^108+1x^118

The gray image is a code over GF(2) with n=696, k=14 and d=320.
This code was found by Heurico 1.16 in 5.23 seconds.