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  1  1  1  1  1  2  1  2  1  1  2  2  1  2  1  1  4  1  1  2  1  2  4  1  2  1  1  1  1  1  1  2  1  8  4  0  1  4  1  1  4  1  1  0  4  0  4  1  1  1  4  2  2
 0 12  0  4  0  0  4 12  0  8  4  0  4  8  4  4  4  0 12  0  4  8  0 12 12  0 12  4 12  8  0  0 12  0  4  8  8 12 12 12  4 12  8  4  8  4  0  4 12  4  0  4  8  4  4  4 12 12 12  8  0  4  8  4 12  4 12  4  4  8  0  8  8  0 12  4  4  8 12 12  4  8  8 12  4
 0  0 12  4  0 12  4  0  0  4  0  8 12 12  8 12  4  0  0  0  0  4 12  4  8 12  8  4  0  8 12  0  4  4  8  8  0  8 12  8  0  8  4 12 12 12  4  4  0  4  8 12  0 12 12  0  0  8 12  8 12  4 12  4  0 12  8  8 12  4 12  4  4  4 12  0 12  4 12 12 12  0  4  8  4
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  0  0  0  8  8  8  0  8  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  0  0  0  8  0  0  8  8  8  0  0  0  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  0  0  8  0  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  8  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  8  0  8  8  0  0  8  8  0  0  8  0  8  0  8  0  8  8  8  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  0  0  8  0  8  0  0  8  0  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  0  8  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  0

generates a code of length 85 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+140x^74+4x^75+293x^76+40x^77+411x^78+296x^79+625x^80+956x^81+803x^82+2256x^83+870x^84+3128x^85+915x^86+2264x^87+758x^88+960x^89+504x^90+300x^91+333x^92+32x^93+210x^94+148x^96+4x^97+71x^98+35x^100+15x^102+4x^104+2x^106+3x^108+1x^110+1x^116+1x^124

The gray image is a code over GF(2) with n=680, k=14 and d=296.
This code was found by Heurico 1.16 in 69.4 seconds.