The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  4  1  1  1  1  1  1  2  0  2  4  1  1  2  2  1  1  1  1  2  0  2  4  2  2  4  0  2  2  2  2  0  4  1  1  1  4  1  4  0  2  2  4  2  2  0  4
 0  2  4  6  0  6  4  2  0  6  4  2  0  6  4  2  0  6  4  2  6  2  2  2  0  4  6  2  0  4  6  2  2  2  6  2  0  4  0  4  6  2  6  2  2  2  0  4  4  4  0  4  6  2  2  2  0  4  6  0  2  4  4  0  4  0  6  2  2  2

generates a code of length 70 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+29x^72+2x^76

The gray image is a code over GF(2) with n=280, k=5 and d=144.
This code was found by Heurico 1.16 in 0.121 seconds.