The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^73+782x^74+1804x^75+2893x^76+4030x^77+5197x^78+6564x^79+7595x^80+7626x^81+7632x^82+6872x^83+5265x^84+4004x^85+2396x^86+1256x^87+751x^88+328x^89+168x^90+76x^91+68x^92+46x^93+15x^94+4x^95+1x^96+2x^97+2x^98+2x^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 51.2 seconds.