The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+189x^82+784x^83+947x^84+1280x^85+979x^86+924x^87+662x^88+688x^89+513x^90+400x^91+247x^92+288x^93+104x^94+84x^95+56x^96+32x^97+5x^98+6x^100+1x^102+1x^104+1x^106

The gray image is a code over GF(2) with n=696, k=13 and d=328.
This code was found by Heurico 1.16 in 1.22 seconds.