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  2  1  1  1  1  1  1  1  8  1  1  2  1  8
 0  2  0  2  8  8 10 10  4  6  4  6 12 14 12 14  8 10  4  6  8  2  4 14 14 10 12  0 10  0 12  6 10  0  4  2  0  6 14  0  4 10  6  8 10  4  6 12  6  6  4  0 14  0  2 12 14 10  4  2 10  4  8  0  0  6  4 12  2 10  2  6 12  2  6 10  8  0 10 12  8 14  4  6 12 14  4 12
 0  0  2  2  4 14  6 12  4  6  2  0  0  2 14 12  4  6  6  4  0  2 10  8 10  0  8 14 12  2 12 14  8  0 14 14  4  4  6  6 12  4 10  2 10  0  8 10  0 10  6  8  6 14  8  8 12  2 12  6  4  2 12 10  6  8  8  6 10  2  8 12 10 12  0 14 12 12  8  2  2  4  2  6 12  0 10  2
 0  0  0  8  8  8  0  8  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  0  8  8  0  0  0  0  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+195x^84+292x^86+1107x^88+264x^90+156x^92+20x^94+11x^96+1x^100+1x^168

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 0.727 seconds.