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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+40x^73+89x^74+104x^75+280x^76+298x^77+680x^78+612x^79+1414x^80+1386x^81+2713x^82+2860x^83+4040x^84+3702x^85+4087x^86+2944x^87+2833x^88+1454x^89+1351x^90+514x^91+535x^92+222x^93+230x^94+108x^95+78x^96+62x^97+48x^98+24x^99+22x^100+2x^101+11x^102+8x^104+2x^105+6x^106+2x^107+3x^108+1x^112+1x^114+1x^120

The gray image is a code over GF(2) with n=680, k=15 and d=292.
This code was found by Heurico 1.16 in 32.6 seconds.