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  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4 12 12 12 12 12 12 12 12  0  8  0  8  0  8  0  8  0  4  0  8  4  0  8  4  4  0  8  4  4  4  4  8 12  4  0  8 12  4  0  8  0  8 12 12 12  4  0 12 12  0  8  0  8  0  0
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  8  0  8  8  8  8  8  8
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  0  0  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+18x^84+62x^86+384x^87+18x^88+16x^90+10x^92+1x^112+2x^118

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 0.602 seconds.