The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+370x^70+520x^71+995x^72+872x^73+1098x^74+832x^75+971x^76+848x^77+728x^78+472x^79+279x^80+40x^81+92x^82+39x^84+14x^86+16x^88+2x^90+1x^96+2x^100

The gray image is a code over GF(2) with n=600, k=13 and d=280.
This code was found by Heurico 1.16 in 1.63 seconds.