The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1 10  1  1  6  1 12  1  1  1  1  1  8  2  1  1  1  1  4 14  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  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  9  1 12 15  1  5  1 14 10  8 11  1  1  1  4  2  7 13  1  1  0 14 12  2  8  6  4  2  8 14  4 10  8 14  4  2  3  5 11 13  7  1  7  1 11 13  7  9 11 13 15  1  0  6 12 10 12  0  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  0  0  0  8  0  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  0

generates a code of length 87 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+30x^84+168x^85+292x^86+48x^87+282x^88+168x^89+26x^90+6x^92+1x^96+1x^106+1x^138

The gray image is a code over GF(2) with n=696, k=10 and d=336.
This code was found by Heurico 1.16 in 0.39 seconds.