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

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

Homogenous weight enumerator: w(x)=1x^0+156x^86+196x^87+382x^88+152x^89+66x^90+36x^91+32x^92+1x^104+1x^106+1x^130

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 0.64 seconds.