The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+40x^84+516x^85+352x^86+676x^87+340x^88+538x^89+258x^90+512x^91+268x^92+394x^93+40x^94+82x^95+28x^96+8x^97+4x^98+26x^99+10x^100+2x^114+1x^120

The gray image is a code over GF(2) with n=712, k=12 and d=336.
This code was found by Heurico 1.16 in 0.925 seconds.