The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+184x^70+160x^71+765x^72+608x^73+1109x^74+768x^75+1055x^76+768x^77+1099x^78+608x^79+716x^80+160x^81+153x^82+11x^84+5x^86+9x^88+6x^90+4x^94+2x^100+1x^104

The gray image is a code over GF(2) with n=608, k=13 and d=280.
This code was found by Heurico 1.16 in 1.52 seconds.