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

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

Homogenous weight enumerator: w(x)=1x^0+28x^83+366x^84+314x^85+311x^86+218x^87+232x^88+186x^89+186x^90+78x^91+100x^92+4x^93+13x^94+4x^95+5x^96+1x^114+1x^130

The gray image is a code over GF(2) with n=696, k=11 and d=332.
This code was found by Heurico 1.16 in 0.562 seconds.