The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+40x^66+126x^67+185x^68+460x^69+705x^70+1388x^71+1931x^72+3792x^73+4437x^74+7574x^75+7040x^76+10064x^77+7283x^78+7834x^79+4339x^80+3832x^81+1664x^82+1246x^83+711x^84+342x^85+207x^86+112x^87+73x^88+54x^89+18x^90+22x^91+20x^92+14x^93+12x^94+2x^95+4x^96+2x^97+1x^98+1x^102

The gray image is a code over GF(2) with n=616, k=16 and d=264.
This code was found by Heurico 1.16 in 66.9 seconds.