The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^82+924x^83+1153x^84+2082x^85+1437x^86+2272x^87+1724x^88+1866x^89+1026x^90+1382x^91+737x^92+804x^93+279x^94+268x^95+143x^96+106x^97+16x^98+18x^99+17x^100+6x^101+4x^102+1x^106+1x^108

The gray image is a code over GF(2) with n=704, k=14 and d=328.
This code was found by Heurico 1.16 in 3.87 seconds.