The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+136x^86+288x^87+186x^88+288x^89+104x^90+18x^92+1x^108+1x^116+1x^120

The gray image is a code over GF(2) with n=704, k=10 and d=344.
This code was found by Heurico 1.16 in 0.82 seconds.