The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+65x^80+342x^81+933x^82+1710x^83+2721x^84+4324x^85+5162x^86+6820x^87+7051x^88+7726x^89+7301x^90+6892x^91+5000x^92+3744x^93+2279x^94+1622x^95+919x^96+424x^97+198x^98+138x^99+73x^100+26x^101+18x^102+18x^103+6x^104+4x^105+10x^106+4x^108+2x^109+3x^110

The gray image is a code over GF(2) with n=712, k=16 and d=320.
This code was found by Heurico 1.16 in 58.4 seconds.