The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+620x^81+1737x^82+3524x^83+4321x^84+5808x^85+6438x^86+7620x^87+6976x^88+7150x^89+6015x^90+5516x^91+3577x^92+2932x^93+1670x^94+844x^95+381x^96+234x^97+78x^98+48x^99+24x^100+8x^101+14x^102

The gray image is a code over GF(2) with n=704, k=16 and d=324.
This code was found by Heurico 1.16 in 49.9 seconds.