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

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

Homogenous weight enumerator: w(x)=1x^0+14x^84+30x^85+21x^86+398x^87+17x^88+12x^89+6x^90+6x^93+4x^94+1x^110+2x^119

The gray image is a code over GF(2) with n=696, k=9 and d=336.
This code was found by Heurico 1.16 in 0.601 seconds.