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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+40x^73+132x^74+234x^75+380x^76+664x^77+1023x^78+1298x^79+1745x^80+2550x^81+3052x^82+3392x^83+3785x^84+3566x^85+3123x^86+2536x^87+1736x^88+1254x^89+850x^90+480x^91+309x^92+194x^93+138x^94+100x^95+57x^96+44x^97+26x^98+22x^99+14x^100+8x^101+7x^102+2x^103+5x^104+1x^110

The gray image is a code over GF(2) with n=672, k=15 and d=292.
This code was found by Heurico 1.16 in 31.4 seconds.