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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+120x^70+340x^71+658x^72+1060x^73+1409x^74+1992x^75+2592x^76+3138x^77+3576x^78+3504x^79+3422x^80+3196x^81+2456x^82+1794x^83+1300x^84+796x^85+545x^86+394x^87+206x^88+120x^89+69x^90+38x^91+12x^92+10x^93+14x^94+2x^95+1x^96+2x^98+1x^102

The gray image is a code over GF(2) with n=632, k=15 and d=280.
This code was found by Heurico 1.16 in 23.6 seconds.