The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+264x^69+140x^70+256x^71+94x^72+232x^73+18x^74+16x^75+1x^80+1x^90+1x^106

The gray image is a code over GF(2) with n=568, k=10 and d=276.
This code was found by Heurico 1.16 in 1.41 seconds.