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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+23x^70+24x^71+139x^72+148x^73+132x^74+14x^75+20x^76+4x^77+5x^78+2x^107

The gray image is a code over GF(2) with n=584, k=9 and d=280.
This code was found by Heurico 1.16 in 0.31 seconds.