The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  8  1  0  1  0  2  1  2  1  4  1  2  1  1  0  1  1  8  2  1  1  2  1  1  2  2  1  1 12  1  4  1  2  1  8  1  0  2  4  1  1  2  1  2  1  8  2  1  4
 0  2  0  2  0  0 14 14  4  6  2  4 12 10 14 12 12  2  8  6 12  2 10 12  0 14  8  6 10  6  8  6  2  8  4  2 14  2 14  8  8  8  4 14 10 14  2  2 12  4  2 10 14  6  6  2  4  6  2 14  8  2  8  2  8 14  4  2  8  2  0  2 14  8 10  2 14  0  0 12 10  2
 0  0  2  2 12  6  6  4  4  0  6 10  8  4 10  6  2  2  0 12 14  0  6  8  4  0  6 14  4  4 14 10  8  2 12  0  2  6  2  4 14  8  2 14  4  2 12  2  8  0 12 12  0  2 12  2 14 10 12  0  2 12  4  6  0  6  2  8 10  6  2  6 14  8  0 10  2  0  2  2  2 10
 0  0  0  4  0  0  4  8  0  0 12  8  0  8 12  8  4  0 12  4  4  4  8 12  4 12 12  8 12  8  4 12 12  4  4  8  8  0  0  8  0  0  8  4  4  8  0  4  0  4  4  4  8  0  0 12  0  4  8  0  8 12  8  4  4 12  0  0 12 12  8 12  8 12  4 12  0  4 12  8  4  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  0  0  8  0  8  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  8  0  8  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  0  0  8  0  0  8  8  0  0  8  0  8  0  8  0  8  8  0  0  0  0  8  0  8  0  8  8  0  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+129x^74+244x^75+680x^76+672x^77+1032x^78+1144x^79+1831x^80+1492x^81+2094x^82+1784x^83+1801x^84+1024x^85+865x^86+444x^87+454x^88+236x^89+177x^90+92x^91+84x^92+24x^93+42x^94+4x^95+9x^96+8x^97+8x^98+3x^100+5x^102+1x^112

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 7.53 seconds.