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  2  2  1  1  1  1  2  1  1  1  1  1  8  1  1  1  1  2  1  1  2  1  1  4  1  1  2  1  1  1  4  1  1  0  1  1  0  1  2  1  1  2  2  4  2  1  2  1
 0 12  0  0  0  0  0  0  0  4 12 12  4  8  4  8  4 12 12  0  4 12  8 12  4  0  8 12  8 12  0 12  8 12  4  0 12  0  8  8 12  8  8  0  4  4  8  0  8 12 12  4  8  4  8 12  8  0 12 12  0  0  8 12  4  0  4  4  8 12  4  8  0  0  8  4  0  4 12  4
 0  0 12  0  0  0  4 12 12  4  4  0  8  0  4  8  8  8  4  8  8  0  0  4  4  4 12 12  4  0  4 12  4 12  4  4  8  0  4  0  0  0 12 12  0  4  8  8 12  8 12  0  8 12 12  8  4 12 12  0 12  4  0 12  8  8  8 12  4  4 12  4  4  8  4 12  0  8  8  0
 0  0  0 12  0  4  4  4  0  8  0  8 12  0  4 12  8 12 12  8 12  8  4  0 12  0  8  4  4 12 12  0 12 12  4 12 12  4 12 12  0  8  0 12  8  0  4  8  0  8  4  4  4 12 12  4  0  4  8 12  8  8  0 12  4  4  0  8 12 12  0  0  0  4  8 12 12  8 12  8
 0  0  0  0 12  4  8  4  4  0  4  4  0  0 12  8  8  4  8  4  0 12  4  8 12  8  4  8  4  4  0  4  4  0  8  8  8  8  4  4  8  0 12  4  4  4  8 12  0  8  8 12  4  4 12 12  8  8  8  8  4 12  4 12 12  0 12  4  4 12 12  0  0  4  8 12 12  4  4  8
 0  0  0  0  0  8  8  0  8  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  0  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  0  8

generates a code of length 80 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+76x^71+103x^72+130x^73+176x^74+186x^75+330x^76+576x^77+771x^78+1162x^79+1455x^80+1082x^81+738x^82+500x^83+248x^84+178x^85+108x^86+82x^87+75x^88+52x^89+46x^90+32x^91+20x^92+30x^93+16x^94+8x^95+6x^96+2x^99+2x^100+1x^126

The gray image is a code over GF(2) with n=640, k=13 and d=284.
This code was found by Heurico 1.16 in 33.8 seconds.