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

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

Homogenous weight enumerator: w(x)=1x^0+44x^71+135x^72+230x^73+373x^74+510x^75+576x^76+738x^77+1017x^78+1112x^79+937x^80+770x^81+643x^82+438x^83+211x^84+140x^85+124x^86+58x^87+46x^88+30x^89+16x^90+12x^91+13x^92+10x^93+2x^94+2x^95+1x^96+2x^97+1x^118

The gray image is a code over GF(2) with n=632, k=13 and d=284.
This code was found by Heurico 1.16 in 2.26 seconds.