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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+162x^86+54x^87+308x^88+116x^89+160x^90+64x^91+74x^92+12x^93+60x^94+10x^95+1x^104+1x^106+1x^130

The gray image is a code over GF(2) with n=712, k=10 and d=344.
This code was found by Heurico 1.16 in 0.919 seconds.