The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+268x^68+1150x^69+3032x^70+5344x^71+10123x^72+14500x^73+21292x^74+26412x^75+31662x^76+33266x^77+32849x^78+27810x^79+21567x^80+13684x^81+9505x^82+4902x^83+2762x^84+1150x^85+459x^86+226x^87+75x^88+56x^89+31x^90+6x^91+4x^92+2x^93+4x^95+2x^96

The gray image is a code over GF(2) with n=616, k=18 and d=272.
This code was found by Heurico 1.16 in 689 seconds.