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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+192x^85+70x^86+218x^87+311x^88+484x^89+332x^90+190x^91+36x^92+184x^93+14x^94+6x^95+3x^96+4x^97+2x^99+1x^168

The gray image is a code over GF(2) with n=712, k=11 and d=340.
This code was found by Heurico 1.16 in 56.5 seconds.