The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1  1 12  1  1 10  1  0  1  1  6  1  1  1 12  1  1 10  1  1  1  6  1  0  6  1  1  1  6  1 12  1  1  1  0 10  1  1  1 12  1  1  1  1  0  1  6  6  1  1  1  1  1  1  1 14  1 10 12  1  1 14 10  1  1 12  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  6  3  1  5  0  9  1 12 15  1 10  1 10  5  1  3  0 15  1 12  6  1  9  6  5  1  3  1  1  0 15 12  1 10  1  9  0  3  1  1 12  5  6  1  0 12  0  9  1  5  1  1 12  6  8 15  5 12  5  1 10  1  2  9  9  1  1  9  0  2  6
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  0  0  8  8  0  8  0  0  0  0  0  0  8  8  0  0  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  0  0  8  8  0  0  8  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  0  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  8  0  8  8  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  8  0  8  8  0  8  0  8  0  0  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  0  0  0  8  0  8  8  8  8  8  8  8  8  0  0  0  0  8  0  0  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  8  0  8  0  0  8  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  8  8  8  8  0  8  8  8  8  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  8  8  0  8  0  0  0  0  8  0  8  8  0  8  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  8  8  8  8  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  0  8  0  0  8  8  8  0  0  0  0  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+20x^73+74x^74+84x^75+249x^76+242x^77+803x^78+830x^79+2042x^80+2370x^81+3479x^82+4130x^83+4185x^84+4140x^85+3514x^86+2380x^87+1974x^88+832x^89+766x^90+232x^91+212x^92+66x^93+41x^94+22x^95+22x^96+10x^97+11x^98+2x^99+5x^100+8x^102+8x^104+6x^106+5x^108+2x^110+1x^112

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 25.7 seconds.