The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  4  1  1  1  1  2  2  1  2  1  1  1  4  8  1  1  8  1  1 12  1  1  2  4  1  1  2  1  4  1  1  2  2  1  8  8  1  2  1 12  2  2  4  0  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  6 10  0  6  4  4  8 14  2 14 10  0  4  6 12 12  4  2  8  0  2 10  2  6 14  2  8 10  8 12  2  4  6  4  0  6  6  8  2  4  4  2  6 12  2  2 14 10 12  0 12 12  4  2  4 14 12  8  0  2  2 10  8  6 12 12 14  2  8  0
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  6 14  0 14  8 12  6 14 12  4  2 10  2 14  2 12  0  4  2  6 14  0 12 14 14 12  2 14  6 14 10 12  6 10  6  6  8  4  2  2  0  6  8 10  6  8 12  2 14  6  0  8 14  8  8  2 14  8 12  8  2  4 14 12 10 12 10  0  0
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10  8  6  4 12  2 12  2  6  8  4 14  4  6 12 12 12  6  2  4 14 14 10 12  8  4  4  8  2 10 14  2  6 10 12 10  2 14  2  2  8  2 12  8  8  2  4  6  6  2 10  8 14 14 10  0 14  8 14 12  0 10  0 10  4  2  2 12  6  2  8

generates a code of length 89 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+62x^82+276x^83+488x^84+620x^85+639x^86+798x^87+932x^88+942x^89+954x^90+690x^91+548x^92+400x^93+251x^94+210x^95+113x^96+90x^97+53x^98+50x^99+29x^100+8x^101+24x^102+8x^103+4x^105+1x^108+1x^130

The gray image is a code over GF(2) with n=712, k=13 and d=328.
This code was found by Heurico 1.16 in 1.99 seconds.