The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+103x^70+688x^71+1331x^72+2368x^73+2826x^74+3378x^75+4008x^76+3822x^77+4176x^78+3374x^79+2514x^80+1804x^81+1052x^82+704x^83+250x^84+182x^85+93x^86+46x^87+21x^88+12x^89+6x^90+2x^91+1x^96+4x^97+2x^100

The gray image is a code over GF(2) with n=616, k=15 and d=280.
This code was found by Heurico 1.16 in 12.9 seconds.