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

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

Homogenous weight enumerator: w(x)=1x^0+46x^74+28x^75+99x^76+210x^77+175x^78+510x^79+349x^80+1142x^81+740x^82+2288x^83+1178x^84+2908x^85+1178x^86+2260x^87+748x^88+1188x^89+320x^90+516x^91+133x^92+178x^93+68x^94+30x^95+25x^96+6x^97+16x^98+20x^100+8x^102+4x^104+6x^106+2x^108+2x^110+1x^112+1x^126

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 9.16 seconds.