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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+9x^82+24x^83+34x^84+160x^85+26x^86+528x^87+18x^88+160x^89+26x^90+24x^91+8x^92+2x^94+1x^96+2x^100+1x^162

The gray image is a code over GF(2) with n=696, k=10 and d=328.
This code was found by Heurico 1.16 in 0.636 seconds.