The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+268x^71+1580x^72+2808x^73+5688x^74+7520x^75+11575x^76+12510x^77+16471x^78+14664x^79+16824x^80+12416x^81+11552x^82+6908x^83+5173x^84+2676x^85+1440x^86+502x^87+291x^88+106x^89+47x^90+24x^91+8x^92+10x^93+1x^94+2x^95+4x^96+2x^97+1x^106

The gray image is a code over GF(2) with n=632, k=17 and d=284.
This code was found by Heurico 1.16 in 208 seconds.