The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+384x^69+1572x^70+2712x^71+4404x^72+5370x^73+6956x^74+7794x^75+8042x^76+7310x^77+6685x^78+5468x^79+4237x^80+2308x^81+1300x^82+550x^83+266x^84+74x^85+46x^86+16x^87+26x^88+6x^89+4x^91+4x^93+1x^94

The gray image is a code over GF(2) with n=608, k=16 and d=276.
This code was found by Heurico 1.16 in 47.7 seconds.