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  1  1  1  1  0  2  1
 0  2  0  2  8  8 10 10  4  6  4  6 12 14 12 14  8 10  4  6  8  2  4 14 14 10 12  0 10  0 12  6 10  0  4  2  0  6 14  0  4 10  6  8 10  4  6 12  6  6  4  0 14  0 12 14  2 10  4  2 10  4  8  0  0  6  4 14 12 14 12  2  6  4  2 10  8  8  4 12 10  8  0  2  6 14  8  0  6
 0  0  2  2  4 14  6 12  4  6  2  0  0  2 14 12  4  6  6  4  0  2 10  8 10  0  8 14 12  2 12 14  8  0 14 14  4  4  6  6 12  4 10  2 10  0  8 10  0 10  6  8  6 14  8 12  8  2 12  6  4  2 12 10  6  8  8  4 10  2  6  8  2  8  4  2 10  8  4  2 14  6  4 14 12  4  2  6  6
 0  0  0  8  8  8  0  8  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  8  0  8  8  0  8  8  8  0  0  0  8  0  0  8  8  0  0  8  8  8  0  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+138x^85+81x^86+144x^87+369x^88+600x^89+366x^90+140x^91+74x^92+110x^93+20x^95+4x^96+1x^174

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 0.845 seconds.