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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+190x^71+425x^72+796x^73+1225x^74+1630x^75+2726x^76+3226x^77+4593x^78+6612x^79+7417x^80+8146x^81+7572x^82+6356x^83+4728x^84+3232x^85+2422x^86+1582x^87+1029x^88+620x^89+451x^90+274x^91+108x^92+70x^93+53x^94+24x^95+11x^96+6x^97+4x^98+4x^99+2x^100+1x^112

The gray image is a code over GF(2) with n=648, k=16 and d=284.
This code was found by Heurico 1.16 in 94.4 seconds.