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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+26x^72+80x^73+98x^74+118x^75+282x^76+296x^77+362x^78+608x^79+555x^80+482x^81+403x^82+278x^83+176x^84+92x^85+64x^86+50x^87+37x^88+12x^89+25x^90+14x^91+8x^92+12x^93+7x^94+2x^95+3x^96+2x^97+2x^99+1x^126

The gray image is a code over GF(2) with n=640, k=12 and d=288.
This code was found by Heurico 1.16 in 0.885 seconds.