The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+232x^70+264x^71+690x^72+1004x^73+1350x^74+1452x^75+2153x^76+2176x^77+2104x^78+1600x^79+1281x^80+908x^81+696x^82+268x^83+84x^84+8x^85+48x^86+29x^88+10x^90+9x^92+8x^94+6x^96+2x^100+1x^104

The gray image is a code over GF(2) with n=616, k=14 and d=280.
This code was found by Heurico 1.16 in 23.4 seconds.