The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^62+44x^63+382x^64+508x^65+1130x^66+1816x^67+2743x^68+3256x^69+4455x^70+4060x^71+4440x^72+3424x^73+2683x^74+1684x^75+971x^76+488x^77+281x^78+72x^79+118x^80+4x^81+47x^82+4x^83+40x^84+20x^86+7x^88+2x^92

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 16.1 seconds.