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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+242x^74+392x^75+993x^76+1016x^77+2348x^78+2400x^79+4123x^80+4308x^81+6686x^82+6332x^83+8099x^84+6184x^85+6914x^86+4240x^87+4158x^88+2456x^89+2028x^90+860x^91+752x^92+356x^93+350x^94+104x^95+102x^96+12x^97+44x^98+8x^99+11x^100+4x^101+12x^102+1x^108

The gray image is a code over GF(2) with n=672, k=16 and d=296.
This code was found by Heurico 1.16 in 98.7 seconds.