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  2  1  2  1  2  1  2  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  2  1  1  1  1  1  1  0  1  2  2  1
 0 12  0  0  0  4 12  4  0  0  0  0  4 12  4 12  0  0  0  0  4 12  4 12  0 12  0  4  8  0  8  4  8  0  8 12  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4 12  8  8  4 12  4  8  8  8  8 12  4  8  8 12  4  0  8  4 12  0  4  4  8 12  8  4 12  8  4 12 12  4  4
 0  0 12  0  4  4 12  0  0  0  4 12  4 12  0  0  8  8 12  4 12  4  8  8  8  4  8 12  8 12  4  8  0  4 12  8  8 12  0 12 12  0  4  0  0  4  0  4 12  0 12  8  8  8 12  0 12  4  8  4  0  8  4 12  4  4  8  8  0 12  4  8  0 12  0  8  0  4  8  8  4  0  4 12  8 12
 0  0  0 12  4  0 12  4  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  8  0 12 12  0 12  4  0  4  4  0  8  0  0  0  4  4  4  4  8  8  8  0 12  4  0 12 12  0  4  8  8  0  8 12  4  4  0 12  8 12 12  0 12  8  0  4  0  4  8  0  4  8  0  4 12  8  0  8  4  4  8  8

generates a code of length 86 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+39x^82+46x^83+59x^84+216x^85+324x^86+212x^87+53x^88+24x^89+20x^90+14x^91+12x^92+2x^96+1x^98+1x^156

The gray image is a code over GF(2) with n=688, k=10 and d=328.
This code was found by Heurico 1.16 in 0.523 seconds.