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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+12x^74+1x^76+2x^78

The gray image is a code over GF(2) with n=280, k=4 and d=148.
This code was found by Heurico 1.16 in 0.0962 seconds.