The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+220x^80+800x^81+1932x^82+2972x^83+3843x^84+5316x^85+6461x^86+7746x^87+7869x^88+7148x^89+6755x^90+5140x^91+3673x^92+2560x^93+1496x^94+706x^95+384x^96+236x^97+80x^98+100x^99+40x^100+30x^101+11x^102+8x^103+2x^104+4x^105+1x^106+2x^109

The gray image is a code over GF(2) with n=704, k=16 and d=320.
This code was found by Heurico 1.16 in 56.8 seconds.