The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+40x^74+170x^75+255x^76+680x^77+1023x^78+1452x^79+1659x^80+2100x^81+1791x^82+2058x^83+1639x^84+1426x^85+996x^86+636x^87+189x^88+124x^89+41x^90+20x^91+22x^92+18x^93+12x^95+10x^96+4x^97+11x^98+4x^99+1x^102+1x^112+1x^114

The gray image is a code over GF(2) with n=656, k=14 and d=296.
This code was found by Heurico 1.16 in 4.98 seconds.