The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^85+330x^86+264x^87+315x^88+176x^89+321x^90+144x^91+131x^92+116x^93+99x^94+20x^95+16x^96+2x^97+1x^98+2x^99+2x^111+1x^116+1x^126

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 0.723 seconds.