The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+210x^73+683x^74+1518x^75+2708x^76+3740x^77+5752x^78+6724x^79+7677x^80+7774x^81+8069x^82+6492x^83+5811x^84+3502x^85+2284x^86+1272x^87+575x^88+340x^89+147x^90+138x^91+51x^92+14x^93+20x^94+12x^95+7x^96+4x^97+3x^98+4x^99+2x^100+2x^106

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 68.7 seconds.