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  1  1  1  1  1  1  1  1
 0  2  0  6  4 14 12  2  4  6  8 10  8 14 12 10  0  6 12 10  8  6  2  4 12  6  8 10  0  2  4 14  2  0  0  2  4 14  4 14  2  0  0  2 12 14 12 14  6  6  0 12  2  8  8 10  2  0 12 12 12 14 10 14 14  2  0  4  8  4 14 10  0  8 12  8  0  8 14 10 14  6  6 10  2  2  0 12
 0  0 12  0  4  4  0  4 12  0  4  0  0 12  0 12  8  8  8  8  4 12  4 12  4  8 12  8  8 12  8  4  4  0 12  8 12  4  0  8  4  8 12  0 12 12  8  0  0 12  0  4  8  4  8  0 12  4  8  4  0  4 12  8  0 12  0  4  8  4  8  4  8  0  4 12  4 12  8  4 12  8 12  8  8  4  4  4
 0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  8  0  0  8  0  0  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  0  8  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0

generates a code of length 88 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+268x^84+1510x^88+268x^92+1x^176

The gray image is a code over GF(2) with n=704, k=11 and d=336.
This code was found by Heurico 1.16 in 5.98 seconds.