The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+164x^82+596x^83+992x^84+1620x^85+3002x^86+3786x^87+5560x^88+6174x^89+7520x^90+7506x^91+7149x^92+6244x^93+5312x^94+3746x^95+2747x^96+1386x^97+895x^98+452x^99+286x^100+140x^101+87x^102+72x^103+54x^104+20x^105+8x^106+2x^107+9x^108+2x^110+2x^112+1x^114+1x^118

The gray image is a code over GF(2) with n=728, k=16 and d=328.
This code was found by Heurico 1.16 in 73.8 seconds.