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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+101x^78+64x^79+198x^80+64x^81+66x^82+6x^84+9x^86+1x^88+2x^112

The gray image is a code over GF(2) with n=640, k=9 and d=312.
This code was found by Heurico 1.16 in 0.895 seconds.