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  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  1  2  4  4  1  2  2  1  1  8  1  2  2  1  1  1  4  1  1  1  1  2  2  2  4  1  1  1  4  4  2  1  1  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  4 12 12  4 12 12  0  4  8  0  4 12  8  8 12  8  8  4  4 12  0  4 12 12  8  8  4 12  0 12  4  0  8  0 12 12 12 12  0  8  0  0  8
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  8 12  4  0  8 12  8  0  8  4  8  0  0  4 12 12  8  4 12 12  8 12  4  0 12 12 12 12  4  8  8  0  8  4  4 12 12  4  4  4  8  4  0
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8  8 12  4  4  0  0  0 12  0 12  0  4  0 12  8  4  8  8  8  8  4 12 12  0  8  0  8  4  4  0 12  0  8  0  4  0  4  4 12  0 12  8
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0 12  8  0  8  8 12  0  8 12  0 12  4  4 12 12 12  0  4  8  4  4  8  4  0  4 12  0 12  8  8  4  0  8  0 12 12 12  8  0  4 12 12  8
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  0  8  8  0 12  8  4  0  4 12 12 12 12  0  4  8  8  0  8  4 12  0  0  0  4  8  4  8  0  0  4  4 12  4 12 12  8  0  8  0  4  8  4

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

Homogenous weight enumerator: w(x)=1x^0+32x^66+72x^67+159x^68+220x^69+284x^70+346x^71+436x^72+678x^73+1013x^74+1632x^75+2245x^76+2378x^77+2142x^78+1656x^79+1075x^80+604x^81+358x^82+300x^83+201x^84+156x^85+98x^86+78x^87+78x^88+42x^89+37x^90+12x^91+27x^92+14x^93+3x^94+2x^96+4x^97+1x^110

The gray image is a code over GF(2) with n=616, k=14 and d=264.
This code was found by Heurico 1.16 in 9.37 seconds.