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

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

Homogenous weight enumerator: w(x)=1x^0+70x^74+240x^75+461x^76+662x^77+907x^78+1448x^79+2190x^80+2232x^81+3149x^82+3256x^83+3967x^84+3028x^85+3211x^86+2356x^87+2000x^88+1182x^89+911x^90+536x^91+319x^92+278x^93+136x^94+92x^95+43x^96+32x^97+28x^98+8x^99+9x^100+8x^101+2x^102+2x^104+2x^105+2x^106

The gray image is a code over GF(2) with n=672, k=15 and d=296.
This code was found by Heurico 1.16 in 28.1 seconds.