The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  0  2 12  2  0  2 12  2  0  2 12  2  2  0  8  2  2 12  4  2  2  4
 0  2 12  6  0  6 12 10  0  6 10 12  0  6 12  2  0  6 12 10  0  6 12  2  0  6 12  2  0  6 12 10  8 14  4 10  8 14  4  2  8 14  4  2  8 14  4 10  8 14  4 10  8 14  4  2  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  6 14  2  2 10  2  2  2  0  0  0
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  0  0  8  8  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  8  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  0

generates a code of length 87 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+222x^84+256x^86+364x^88+160x^90+18x^92+2x^104+1x^128

The gray image is a code over GF(2) with n=696, k=10 and d=336.
This code was found by Heurico 1.16 in 0.675 seconds.