The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+49x^84+292x^85+368x^86+284x^87+214x^88+236x^89+294x^90+128x^91+89x^92+68x^93+2x^94+8x^95+4x^97+4x^99+4x^100+1x^104+1x^108+1x^132

The gray image is a code over GF(2) with n=704, k=11 and d=336.
This code was found by Heurico 1.16 in 0.593 seconds.