The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^84+670x^85+808x^86+644x^87+346x^88+418x^89+233x^90+220x^91+174x^92+132x^93+85x^94+100x^95+56x^96+24x^97+16x^98+1x^100+2x^104+2x^106

The gray image is a code over GF(2) with n=704, k=12 and d=336.
This code was found by Heurico 1.16 in 0.531 seconds.