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

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

Homogenous weight enumerator: w(x)=1x^0+103x^84+272x^86+256x^87+336x^88+16x^90+37x^92+2x^96+1x^168

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 35.5 seconds.