The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+320x^83+66x^84+120x^85+192x^86+672x^87+214x^88+112x^89+288x^91+36x^92+24x^93+2x^108+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 0.449 seconds.