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

generates a code of length 76 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+24x^78+7x^80

The gray image is a code over GF(2) with n=304, k=5 and d=156.
This code was found by Heurico 1.16 in 0.18 seconds.