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

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

Homogenous weight enumerator: w(x)=1x^0+34x^86+4x^87+16x^88+4x^89+2x^90+1x^92+2x^98

The gray image is a code over GF(2) with n=688, k=6 and d=344.
This code was found by Heurico 1.16 in 0.419 seconds.