The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+92x^69+322x^70+764x^71+1274x^72+2012x^73+2793x^74+3226x^75+3886x^76+4220x^77+4098x^78+3560x^79+2351x^80+1618x^81+1179x^82+596x^83+307x^84+204x^85+106x^86+52x^87+45x^88+30x^89+14x^90+10x^91+4x^92+3x^96+1x^100

The gray image is a code over GF(2) with n=616, k=15 and d=276.
This code was found by Heurico 1.16 in 16.6 seconds.