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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+138x^83+712x^84+736x^85+652x^86+426x^87+400x^88+220x^89+232x^90+152x^91+141x^92+128x^93+80x^94+16x^95+48x^96+8x^97+3x^98+1x^100+1x^102+1x^108

The gray image is a code over GF(2) with n=696, k=12 and d=332.
This code was found by Heurico 1.16 in 0.427 seconds.