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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+148x^73+165x^74+224x^75+461x^76+288x^77+277x^78+192x^79+89x^80+76x^81+21x^82+80x^83+9x^84+16x^85+1x^142

The gray image is a code over GF(2) with n=616, k=11 and d=292.
This code was found by Heurico 1.16 in 0.499 seconds.