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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+120x^74+76x^75+400x^76+320x^77+870x^78+604x^79+1591x^80+1032x^81+2770x^82+1100x^83+2745x^84+952x^85+1486x^86+644x^87+749x^88+312x^89+258x^90+72x^91+113x^92+8x^93+78x^94+49x^96+16x^98+12x^100+2x^102+2x^104+2x^116

The gray image is a code over GF(2) with n=664, k=14 and d=296.
This code was found by Heurico 1.16 in 8.66 seconds.