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

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

Homogenous weight enumerator: w(x)=1x^0+34x^74+34x^75+91x^76+74x^77+163x^78+90x^79+333x^80+248x^81+753x^82+644x^83+1220x^84+892x^85+1214x^86+644x^87+745x^88+248x^89+308x^90+90x^91+121x^92+74x^93+60x^94+34x^95+28x^96+12x^98+10x^100+10x^102+3x^104+4x^106+6x^108+1x^110+2x^112+1x^130

The gray image is a code over GF(2) with n=680, k=13 and d=296.
This code was found by Heurico 1.16 in 3.34 seconds.