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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+151x^88+56x^90+36x^92+8x^94+3x^96+1x^104

The gray image is a code over GF(2) with n=712, k=8 and d=352.
This code was found by Heurico 1.16 in 0.645 seconds.