The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+186x^73+693x^74+1626x^75+3046x^76+3380x^77+5644x^78+6576x^79+7854x^80+7382x^81+8413x^82+6384x^83+5881x^84+3624x^85+2358x^86+1126x^87+716x^88+318x^89+153x^90+72x^91+32x^92+20x^93+14x^94+18x^95+5x^96+2x^97+5x^98+6x^99+1x^100

The gray image is a code over GF(2) with n=648, k=16 and d=292.
This code was found by Heurico 1.16 in 52.5 seconds.