The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^70+610x^71+1510x^72+1890x^73+3214x^74+3102x^75+4479x^76+3644x^77+4185x^78+3104x^79+2986x^80+1434x^81+1136x^82+594x^83+407x^84+152x^85+75x^86+34x^87+11x^88+16x^89+5x^90+12x^91+14x^92+2x^94+1x^98

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 12.7 seconds.