The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  2  1  4  1  1  1 10  1  0  1 14  1  1  1  1  1  4  1  6  1  1  1  4  1  2  0  2  4  1 14  1  1 14  1  1  1 12 12  4  1  1  1  1  1  1  1  1  1  1  1  1  1 14  4 10  1  2  2  1  1  1 12  1
 0  1  1  6  1  3  5  4  1  2  1  7  9  1  6  1  2 13  8  1  7  1  5  1 15 12 15 14  1  1  9  1 15  2  3  1 12  1  1  1  1  6  1  6 13  1 15 12 11  4  1  1 12  8 12 15  6  5  9 11 10  2  6 12  7  1  1  1 15 10  0  5 14  8  1  0
 0  0  2  0  0  8  8 10  6 10 14 10 14 10  6  4  4  4 10  0 12 12  4 10  8  0  6  2  2  2  8 12  2  2  4  4  4  0 14  2  6  4 12  6  2  6  6  4 12  2 14  0  6 14  0  6 12 12  6  4  8  0 14 10  0 14  2  4  8  6 10 14 12  4  2  0
 0  0  0  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  8  0  0  8  0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  8  8  8  8  0  8  8  8  0  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  0  8  8  8  0  8  8  8  8  8  0  8  0  8  0  8  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+45x^70+372x^71+503x^72+1146x^73+700x^74+1124x^75+723x^76+1140x^77+598x^78+880x^79+359x^80+342x^81+86x^82+78x^83+29x^84+24x^85+5x^86+8x^87+12x^88+4x^89+4x^90+2x^91+4x^92+1x^96+2x^98

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 1.29 seconds.