The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  4  1
 0  1  3  6  5  1  0  3  1  6  5  1  0  6  3  5  4  2  7  1  0  4  2  2  4  6  4  1  1  0
 0  0  4  0  4  0  4  0  4  4  0  4  0  0  0  0  4  4  4  4  4  4  0  0  0  4  0  0  4  0
 0  0  0  4  4  4  4  0  0  0  4  4  4  0  4  0  0  4  4  0  0  4  4  0  4  4  0  4  4  0

generates a code of length 30 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+71x^28+32x^29+48x^30+32x^31+70x^32+1x^44+1x^48

The gray image is a code over GF(2) with n=120, k=8 and d=56.
This code was found by Heurico 1.16 in 0.00852 seconds.