The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  0  1  6  1  1 12  1  1  1  1 10  1  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  1  1  1  1  1  1  0  0  8  1  1  1  1  6  4  8  1  1  1  1  2  2  2
 0  1  3  6  5  1 12 15  1 10  1  9  3  0  1  6  5  1  1 12 15 10  9  1  0  3  1  6  5  1 12 15  1  9  1 10  6  1  3  1  0  5  1 12 15 10  9  1  0 14  0  2  8  4  6  8 14  4 14  4  6  8 12  6  4  6  8  0  3  3  1  1  1 10 11  2 11  1  2  1  0  5 13 12  8  1  6
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  0  8  8  8  8  0  8  0  0  0  0  8  0  8  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  0  8  8  8  8  8  8  8  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  8  0  8  0  0  8  0  0  8  8  8  0  8  0  8  8  8  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+252x^82+208x^83+616x^84+272x^85+478x^86+544x^87+458x^88+352x^89+425x^90+144x^91+248x^92+16x^93+58x^94+19x^96+2x^98+2x^120+1x^122

The gray image is a code over GF(2) with n=696, k=12 and d=328.
This code was found by Heurico 1.16 in 12.9 seconds.