The generator matrix

 1  0  0  1  1  1  8 12  1  1 10  1  1  1 12 10  6 14  1  1  1  4  1  2  1  1  4  1  1  4  2  1  1  1 14  1  1  1  4  8 10  1  1 14  1  1  1  1  1  1  2  1 12  1  1  2  1  8  1  1 14  1  1  6 12  6  1  1  1 12  1  1 10  1  4 12 14  0 12  1  1  1  1  1  1  2  1  1
 0  1  0  0  5  3  1  4 15 10  1 12  7 14  1  1  8  1  5  1  6 10  8  1 14  7  1  5  3  1 12 14 12  1  1  4 15  3  1  1 10 15  8  1 14 11 10  4  1 10 14  1  1 13  8  6  1 14  7  8  1  4  5  1  1  1 15 13 12  1 14  6  2  5  8  4  1 10  1  0  6 12  4  3 12  1 15  0
 0  0  1  1  1  0  5  1 11 11  8 14  6 13 15  6  1  7  4  3 10  1 15 13  4  5  2  2  0 12  1 14  5 15  1  2 14  1  4 11  1  0 15  0  7  3  6  5  8 10  1  3  5  5  4  1  9  1  9  7  2 12  4 12  6 10  2 11  7  5  9  9  1 10  1  1  1  1 10  8 11  6 12 12 10 11 14  4
 0  0  0  2 10  8 10  2 14  6  0  4 12 10  6 12 10  6  8 14  4  2  2  6 12 14  8  0  4  4  0  6  8  0  8 10  2  0 10  4  8  2  4 10  8  4  8  4  6 10 12  2  4 12 10 14  8  6  4  0  2  6 10 14 10  6  8  2  2  6  0 14 14  2 14 12  4 12 12 14 12  0 12 10  6  8  0  2

generates a code of length 88 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+154x^81+902x^82+1624x^83+2441x^84+2840x^85+3407x^86+3486x^87+3879x^88+3454x^89+3293x^90+2354x^91+1982x^92+1320x^93+809x^94+360x^95+235x^96+88x^97+50x^98+30x^99+13x^100+32x^101+10x^102+2x^103+1x^104+1x^106

The gray image is a code over GF(2) with n=704, k=15 and d=324.
This code was found by Heurico 1.16 in 14.6 seconds.