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

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

Homogenous weight enumerator: w(x)=1x^0+137x^84+180x^85+240x^86+408x^87+340x^88+276x^89+152x^90+88x^91+110x^92+52x^93+24x^94+16x^95+19x^96+4x^97+1x^164

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 82.8 seconds.