The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+111x^64+698x^65+1105x^66+2244x^67+2542x^68+4014x^69+3729x^70+4698x^71+3514x^72+3700x^73+2318x^74+1908x^75+944x^76+678x^77+254x^78+154x^79+44x^80+62x^81+17x^82+20x^83+10x^84+1x^86+2x^88

The gray image is a code over GF(2) with n=568, k=15 and d=256.
This code was found by Heurico 1.16 in 11.3 seconds.