The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^83+320x^84+288x^85+378x^86+128x^87+312x^88+208x^89+164x^90+72x^91+98x^92+16x^93+2x^94+1x^96+2x^108+1x^112+1x^128

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 0.667 seconds.