The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+126x^73+563x^74+968x^75+1608x^76+2644x^77+3842x^78+5026x^79+6624x^80+7482x^81+7768x^82+7936x^83+6530x^84+5198x^85+3602x^86+2308x^87+1543x^88+740x^89+485x^90+210x^91+126x^92+88x^93+52x^94+30x^95+15x^96+8x^97+8x^98+2x^99+2x^101+1x^104

The gray image is a code over GF(2) with n=656, k=16 and d=292.
This code was found by Heurico 1.16 in 64.9 seconds.