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

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

Homogenous weight enumerator: w(x)=1x^0+176x^73+88x^74+284x^75+225x^76+524x^77+476x^78+682x^79+458x^80+472x^81+208x^82+230x^83+47x^84+122x^85+14x^86+48x^87+3x^88+12x^89+12x^90+2x^91+6x^93+2x^94+2x^95+1x^96+1x^128

The gray image is a code over GF(2) with n=632, k=12 and d=292.
This code was found by Heurico 1.16 in 2.87 seconds.