The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+156x^82+810x^83+1344x^84+1724x^85+1887x^86+1922x^87+1842x^88+1690x^89+1522x^90+1236x^91+700x^92+552x^93+371x^94+282x^95+184x^96+76x^97+36x^98+22x^99+15x^100+4x^101+4x^102+1x^104+2x^105+1x^108

The gray image is a code over GF(2) with n=704, k=14 and d=328.
This code was found by Heurico 1.16 in 3.91 seconds.