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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+112x^82+748x^83+772x^84+600x^85+386x^86+460x^87+188x^88+236x^89+186x^90+128x^91+125x^92+76x^93+16x^94+56x^95+1x^96+3x^98+1x^100+1x^106

The gray image is a code over GF(2) with n=688, k=12 and d=328.
This code was found by Heurico 1.16 in 0.415 seconds.