The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+166x^77+850x^78+1402x^79+2597x^80+2498x^81+3709x^82+3394x^83+4316x^84+3014x^85+3922x^86+2328x^87+1954x^88+1040x^89+806x^90+366x^91+188x^92+86x^93+50x^94+26x^95+32x^96+8x^97+5x^98+4x^99+2x^101+2x^102+2x^105

The gray image is a code over GF(2) with n=672, k=15 and d=308.
This code was found by Heurico 1.16 in 14.2 seconds.