The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  8  1  1  1 14  1  4  1  1  1 14  1  1  2  0  1  1  1 14 12  1  1  1  2  1  1  1 12  1  1  1  1  1  1  1 12  1 14  1  1 14  4  1  1 12  4  1  1  1  1  1  1  1 14  1 12  1  1  1  1  1  6  1  1 12  1  8 10  1  0  1
 0  1 11  6 13  1  7  8  1 14  1  1  4  1  3  6  5  1  9  1 10 11  0  1 11  4  1  1  6  9  9  1  1 12  2  0  1  7  2  5  1  3 14  0  6 13  5 15  1  8  1  0 12  1  1  7 13  1  1  7 13  6 12  2  8  3  1 12  1  0  2 13  3 15  1 15 14  2 10  1  1 15  0  0
 0  0 12  0  4  0  4  4  0 12  4  8 12 12  0  0  8  4  8 12  8  8 12  0  4  8  8  4  4 12  0  4  0  4 12  0 12  8  0  4  0  4 12  0  4  8  8  8  4  0  4 12 12  0  0  4  0  8  4  8  0 12  8 12 12 12  8  0 12  0  4 12  4  8 12  4  4  8  0  0 12  0  4  0
 0  0  0 12  0  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  0 12  4 12  4  4 12  4  4  4  4 12 12  4  8  4 12 12  4  4  0 12  8  0 12 12  8  8 12 12  8  0  4 12 12  8  8 12  8  4  4 12  0  0  4  0  4  0  8  8  4 12  0  0  4  8  0  4  0 12  0  0  0  0
 0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  0
 0  0  0  0  0  8  8  0  0  8  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  8  8  8  0  8  8  0  0  8  0  0  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  8  0  0  8  0  8

generates a code of length 84 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+48x^76+176x^77+345x^78+766x^79+715x^80+1882x^81+1247x^82+2322x^83+1623x^84+2412x^85+1031x^86+1772x^87+740x^88+710x^89+291x^90+136x^91+53x^92+20x^93+17x^94+18x^95+11x^96+6x^97+5x^98+6x^99+4x^100+8x^101+6x^102+4x^103+5x^104+2x^105+1x^110+1x^114

The gray image is a code over GF(2) with n=672, k=14 and d=304.
This code was found by Heurico 1.16 in 5.38 seconds.