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

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

Homogenous weight enumerator: w(x)=1x^0+47x^82+80x^83+100x^84+32x^85+498x^86+544x^87+497x^88+32x^89+83x^90+80x^91+41x^92+12x^94+1x^172

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 0.937 seconds.