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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+156x^81+264x^82+608x^83+750x^84+1056x^85+1308x^86+1688x^87+1575x^88+1952x^89+1718x^90+1616x^91+1180x^92+852x^93+466x^94+416x^95+212x^96+188x^97+134x^98+112x^99+46x^100+52x^101+10x^102+8x^103+11x^104+4x^106+1x^128

The gray image is a code over GF(2) with n=712, k=14 and d=324.
This code was found by Heurico 1.16 in 7.64 seconds.