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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+112x^69+451x^70+802x^71+1178x^72+1862x^73+2534x^74+3512x^75+4756x^76+5926x^77+7555x^78+8134x^79+7451x^80+6424x^81+4786x^82+3530x^83+2476x^84+1562x^85+1038x^86+566x^87+362x^88+218x^89+134x^90+82x^91+20x^92+20x^93+12x^94+14x^95+12x^96+4x^97+1x^98+1x^106

The gray image is a code over GF(2) with n=632, k=16 and d=276.
This code was found by Heurico 1.16 in 91.6 seconds.