The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+202x^78+784x^79+1333x^80+2518x^81+2899x^82+3420x^83+3765x^84+4098x^85+3325x^86+3414x^87+2279x^88+1810x^89+1301x^90+810x^91+407x^92+194x^93+55x^94+74x^95+23x^96+16x^97+23x^98+10x^99+4x^101+1x^102+1x^106+1x^110

The gray image is a code over GF(2) with n=680, k=15 and d=312.
This code was found by Heurico 1.16 in 14.5 seconds.