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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+20x^82+58x^83+70x^84+86x^85+65x^86+112x^87+1228x^88+124x^89+68x^90+74x^91+57x^92+46x^93+22x^94+12x^95+2x^96+1x^100+1x^102+1x^168

The gray image is a code over GF(2) with n=704, k=11 and d=328.
This code was found by Heurico 1.16 in 0.777 seconds.