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

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

Homogenous weight enumerator: w(x)=1x^0+68x^66+104x^67+196x^68+300x^69+482x^70+750x^71+1033x^72+1630x^73+2387x^74+3272x^75+4093x^76+4412x^77+4039x^78+3222x^79+2361x^80+1564x^81+965x^82+690x^83+477x^84+234x^85+141x^86+132x^87+66x^88+44x^89+40x^90+22x^91+22x^92+6x^93+5x^94+7x^96+2x^97+1x^110

The gray image is a code over GF(2) with n=616, k=15 and d=264.
This code was found by Heurico 1.16 in 27.8 seconds.