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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  4  0  1  1  1  1  1  1  1  1  4  0  2  2  4  0  4  0  4  8  4  8  4  8  4  8  2  2  2  2  2  2  2
 0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4 12 12 12 12  4  0  8  4  0  8  4  4  0  8  0 12  8  4  0 12  8  4 12  4  0  8 12  4  0  8 12  4 12  4  0  8 12  4 12  4  4  4  4  4  4  4  4  4 12 12 12  4 12  4  4
 0  0  8  0  0  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  0  0  8  8  8  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  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  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8  8  0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8

generates a code of length 87 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+28x^86+192x^87+28x^88+2x^94+3x^96+2x^110

The gray image is a code over GF(2) with n=696, k=8 and d=344.
This code was found by Heurico 1.16 in 0.591 seconds.