The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+514x^82+636x^83+1326x^84+1392x^85+1966x^86+1592x^87+2011x^88+1636x^89+1812x^90+1284x^91+926x^92+532x^93+358x^94+56x^95+161x^96+20x^97+70x^98+16x^99+48x^100+4x^101+16x^102+4x^104+2x^112+1x^120

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 18.5 seconds.