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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+282x^73+422x^74+552x^75+712x^76+690x^77+1147x^78+996x^79+1071x^80+644x^81+588x^82+302x^83+219x^84+218x^85+130x^86+80x^87+42x^88+46x^89+16x^90+22x^91+3x^92+8x^93+1x^118

The gray image is a code over GF(2) with n=632, k=13 and d=292.
This code was found by Heurico 1.16 in 5.52 seconds.