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

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

Homogenous weight enumerator: w(x)=1x^0+56x^82+112x^83+177x^84+96x^85+215x^86+736x^87+220x^88+96x^89+171x^90+112x^91+46x^92+5x^94+3x^96+1x^98+1x^164

The gray image is a code over GF(2) with n=696, k=11 and d=328.
This code was found by Heurico 1.16 in 0.766 seconds.