The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  2  1  4  1  1  1 10  1 14  1  1  1  8  1  6  1  1  0  1  1 12  1  1  1  1  1  1  2  1  1  1  1  6 12  4  1  8 14  1  1  1  2  4  1  1  1  2  1  1  2  1  1  4  1  4  1  1  2  1  1  1  1  1 12  2  1
 0  1  1  6  1  3  5  4  1  2  1  7  9  1  6  1  2 13  8  1  7  1  9 14  1  1  4  1 13  6  1  3  2  1 14 15  4  1 11  4  1  2 11  0  0  1  1  1 10  1  1  0 13  7 12  1 12  2  4 10 14  7 14 14 12  4 10  1 10 15  1  5  3 12  3  5  2  1  0
 0  0  2  0  0  8  8 10  6 10 14 10 14 10  6  4  4  4 10  0 12 10  2  4 12 12 12 12  2  2  2  4 12  2  0  6 14  8  2 10  4  8 12 14 12 10  4 10 10  6  0  0  6  0 10  8 12 10  2  6  6  8  2  0  8  2 14  0  2 14  4  4 10 14 14  6  2 10  0
 0  0  0  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  8  8  8  0  0  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  0  8  8  0  0  0  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+120x^73+286x^74+694x^75+842x^76+896x^77+944x^78+1024x^79+936x^80+736x^81+589x^82+506x^83+234x^84+164x^85+93x^86+56x^87+28x^88+4x^89+7x^90+8x^91+6x^92+16x^93+1x^102+1x^104

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 1.45 seconds.