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  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  4  1  1  1  1  8  1  1  1  2  1  2  1  1 12  1  2  1  2  1  1  1  1  2  1 12  8  2  1  8  8  1  2  1
 0  2  0  2  8  0  6 14  0  8  2 10  0 10 14  0 10 12 12  6 10  6 12  4  2 12 12  6 10  2  8 12  0 10  8  6  4  4 14  6  8  6  2  8  6 10  0  2  6  4  4 10 14  0  2 14  6  6  0  2  8  4  4  2  4  2 10  2 12 12  4  2  0  2  6 12 14  2  8  2  2  2  2  2  2  4 14 12
 0  0  2  2  0 14  6  8  4 14 14 12  2  6 12 12 10  8  2 12  8 14 14  4 14  4  6  4  4  2  4  6  2 14  0  0 10  4 10  4  6 14  4  6  6  8 12  2  8 10  8 12 14  8 14  2  2 12  8  8 10  2  2  6  4  8  2  8  2  0  2  6 12 10  6  8  4  0  8  8  0 10 12  4  2  6  2 12
 0  0  0  4 12 12  8 12 12  8  4  8 12  0 12  8  8  8  4  8  4  4  8 12  8  8  0  4  0 12  4  4  8 12  8  8  4  4  0  0  4 12  4  0  8  8  0  0  0 12  0 12  0  4 12 12  4 12  0  4  4  8  0  4  0 12  0 12  4  4  4  8  4 12  0 12 12  4  4  0 12 12 12 12 12  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+58x^82+254x^83+199x^84+358x^85+468x^86+568x^87+590x^88+474x^89+377x^90+280x^91+115x^92+126x^93+42x^94+68x^95+35x^96+30x^97+21x^98+10x^99+12x^100+4x^101+1x^102+4x^103+1x^142

The gray image is a code over GF(2) with n=704, k=12 and d=328.
This code was found by Heurico 1.16 in 1.04 seconds.