The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+46x^62+72x^63+232x^64+332x^65+595x^66+1204x^67+1947x^68+3510x^69+5217x^70+6798x^71+8384x^72+8968x^73+8425x^74+6940x^75+5169x^76+3412x^77+1881x^78+1060x^79+551x^80+296x^81+166x^82+104x^83+86x^84+46x^85+44x^86+14x^87+11x^88+12x^89+10x^90+2x^92+1x^96

The gray image is a code over GF(2) with n=584, k=16 and d=248.
This code was found by Heurico 1.16 in 61.8 seconds.