The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  1  2  1  8  0  1  1  2  0  1  2  1 12  1  1  8  1  2  1  1  2  1  1  1  2  1  1  4  1  2  1  2  2  1  1  1  1  1  1  1  2  2  1
 0  2  0  6  0  6  8 10  8  6  8  2 14  8  2  8  8  8  6 10 10 12  2  0  0 12 10 14  2 14 10 14  4  2  2 10 12  2  2  4 14 10  2 10  8  2 14 14  2 12  6  2  2  4 14  8  6 12  0  4  6  6 10  8 14  8  0  4  4 10  0 14  0
 0  0 12  0  0  0 12  0  0  0  8  8  0  8  8  8  0  8 12 12  4 12  4 12 12 12  4  0  4  8 12  0  4 12  4 12  4  8  8 12  4 12  0  0 12 12 12  4  8  4  8  8  4  0  4  0 12  0  4  0  4  0  0  8  8 12  0  0 12 12  8  0  0
 0  0  0 12  0  0  0  4  0  0  0  0  4  4 12 12 12  4 12  4  8  4  8  4  4  8 12  8 12  0 12 12  0  8  0  8  4  0  4  0  8  4  8  8 12 12  0  4  4 12  8  4  8  0  8  8  0  8  4  4 12  4  8  8 12  0  8  0  4  4  0 12  0
 0  0  0  0 12  0  4  0  8  4  4  4 12  4 12  0 12  8  8 12  0 12 12  8  8 12  8  4 12  8 12 12  8  8  8  0  0  0  0  4 12  8 12  4 12  0  8 12  0 12  8  0  4 12  4  8 12 12  0 12  0  0  8  0  0  8 12  8 12 12 12  8  0
 0  0  0  0  0 12  0 12 12  4  4  0  8 12 12 12  8  0  8  4 12 12  4 12  0 12  4  0  0  4  0 12 12  8  4  0  8  4 12 12 12  8  4 12  0 12  8  0  4  4  8  8  8  4  4  4  4  8  0  0  8  8  0 12  0 12 12  0  0 12  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^62+110x^63+192x^64+308x^65+479x^66+740x^67+1014x^68+1402x^69+2326x^70+3456x^71+4226x^72+4466x^73+4104x^74+3354x^75+2288x^76+1484x^77+1036x^78+604x^79+379x^80+280x^81+157x^82+102x^83+80x^84+58x^85+42x^86+14x^87+10x^88+2x^89+3x^90+4x^91+2x^92+1x^106

The gray image is a code over GF(2) with n=584, k=15 and d=248.
This code was found by Heurico 1.16 in 25.9 seconds.