The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^69+637x^70+1420x^71+2043x^72+3012x^73+3672x^74+3816x^75+3927x^76+4084x^77+3216x^78+2692x^79+1772x^80+1172x^81+598x^82+242x^83+184x^84+62x^85+64x^86+20x^87+6x^88+10x^89+4x^90+2x^91+3x^92+1x^94+2x^97

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 12.7 seconds.