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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+78x^73+192x^74+232x^75+612x^76+620x^77+1104x^78+1172x^79+1676x^80+1520x^81+2119x^82+1620x^83+1787x^84+1022x^85+980x^86+590x^87+438x^88+166x^89+193x^90+70x^91+49x^92+32x^93+41x^94+22x^95+9x^96+12x^97+8x^98+6x^99+2x^100+6x^101+3x^102+1x^108+1x^116

The gray image is a code over GF(2) with n=656, k=14 and d=292.
This code was found by Heurico 1.16 in 8.7 seconds.