The generator matrix

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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+112x^71+785x^72+1294x^73+2342x^74+2800x^75+3397x^76+4028x^77+3990x^78+3578x^79+3542x^80+2604x^81+1948x^82+1100x^83+671x^84+266x^85+138x^86+52x^87+40x^88+28x^89+26x^90+4x^91+12x^92+2x^93+4x^94+2x^95+2x^97

The gray image is a code over GF(2) with n=624, k=15 and d=284.
This code was found by Heurico 1.16 in 13.2 seconds.