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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+18x^68+32x^69+13x^70+384x^71+13x^72+30x^73+18x^74+1x^78+2x^105

The gray image is a code over GF(2) with n=568, k=9 and d=272.
This code was found by Heurico 1.16 in 0.28 seconds.