The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1 10  1  1  6  1 12  1  1  1  1  1  8  2  1  1  1  1  4 14  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  0  8 14 14  8  4  6  4  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  9  1 12 15  1  5  1 14 10  8 11  1  1  1  4  2  7 13  1  1  0 14 12  2  8  6  4  2  8 14  4 10  8 14  4  2  3  5 15  9 11 13  7  1 11 13  7 13  1 11  7  1  1  1  1  1  1  1  1  0  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0  0  8  0  8  0  8  8  0  0  0  0  8  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  0  8  8  8  0  8  0  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+11x^86+100x^87+222x^88+332x^89+283x^90+44x^91+24x^92+4x^93+1x^110+1x^112+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 0.425 seconds.