The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+30x^29+80x^30+15x^32+2x^45

The gray image is a code over GF(2) with n=120, k=7 and d=58.
This code was found by Heurico 1.16 in 2.11 seconds.