The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^28+48x^29+18x^30+7x^32+16x^33+12x^34+2x^38

The gray image is a code over GF(2) with n=120, k=7 and d=56.
This code was found by Heurico 1.16 in 0.00487 seconds.