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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+128x^62+240x^63+619x^64+816x^65+1395x^66+1880x^67+2525x^68+3212x^69+3652x^70+4168x^71+3618x^72+3172x^73+2414x^74+1808x^75+1204x^76+820x^77+510x^78+216x^79+186x^80+44x^81+77x^82+8x^83+31x^84+14x^86+8x^88+2x^90

The gray image is a code over GF(2) with n=568, k=15 and d=248.
This code was found by Heurico 1.16 in 22.6 seconds.