The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  1  8  2  1  1  2  2  2  1  1  0  1  2  2  1  1  1  2  0  1  1  2  1  1  1 12  1  2  2  0  8  1  1  8  1  1  8 12  4  2  1  1  8  2  1  1
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  4 14 10 10 14 12  4 14  8 14  4  4 10  8  8  2 10 12 14  0  6 10 12  8  2  4 14 14  8  8 14  6 12 12 14  6 10  2 10  2  4  4  8  0  2  6 14  2 14  8  2 12  0  6 10 12  2  4  2  0
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14 12 10  8 12  2  0 10  6 14  8  2 14  6 10  4 10  6 12 12 10  2 12 12 14 12  6 10  4  0  0 10  8  2  8 12  6  6 12  6 10  0 10 14  2  4  8  0 14  6  4 12  2  2 14 10  8  6  6  6  0
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4 12  8  4 12  4  8  8  4  8  0  0  4  0  8  4  4  8  8  0  8  4 12 12  0  4  4  8 12  8  4  0  0  4  8  0  8  4  8 12  4  8  4  4 12 12  4 12  8  4  0  0  8 12 12 12 12  0  0  0  0
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  4  0 12  0 12  0  4  0  0  8  8  4  4 12  4  4  0 12  4  8  0  4  8  0  8 12  8  4  0  0  8 12  8  4  8 12  4 12  8  0  8 12  0  4  0  8  8  0  8  4  4 12  8  4  0  4  8  8 12  8

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+88x^69+282x^70+494x^71+770x^72+994x^73+1236x^74+1644x^75+1936x^76+1944x^77+1787x^78+1652x^79+1172x^80+744x^81+660x^82+352x^83+211x^84+172x^85+80x^86+78x^87+32x^88+22x^89+10x^90+4x^91+5x^92+4x^93+7x^94+2x^98+1x^104

The gray image is a code over GF(2) with n=616, k=14 and d=276.
This code was found by Heurico 1.16 in 6.7 seconds.