The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+142x^70+300x^71+569x^72+796x^73+877x^74+952x^75+991x^76+952x^77+843x^78+796x^79+523x^80+300x^81+101x^82+17x^84+11x^86+4x^88+10x^90+4x^92+1x^96+2x^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 1.39 seconds.