The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+48x^74+326x^75+518x^76+640x^77+472x^78+490x^79+384x^80+462x^81+215x^82+188x^83+159x^84+98x^85+27x^86+20x^87+24x^88+16x^89+4x^90+1x^92+1x^96+1x^98+1x^102

The gray image is a code over GF(2) with n=632, k=12 and d=296.
This code was found by Heurico 1.16 in 0.654 seconds.