The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+118x^69+605x^70+1400x^71+2083x^72+3078x^73+3483x^74+4026x^75+3925x^76+4002x^77+3209x^78+2720x^79+1749x^80+1110x^81+559x^82+350x^83+201x^84+56x^85+43x^86+28x^87+9x^88+4x^89+2x^90+4x^91+1x^94+2x^98

The gray image is a code over GF(2) with n=608, k=15 and d=276.
This code was found by Heurico 1.16 in 13 seconds.