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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+1x^70+26x^71+1x^72+2x^73+1x^74

The gray image is a code over GF(2) with n=552, k=5 and d=280.
This code was found by Heurico 1.16 in 0.219 seconds.