The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+232x^28+128x^30+81x^32+48x^34+20x^36+2x^40

The gray image is a code over GF(2) with n=120, k=9 and d=56.
This code was found by Heurico 1.16 in 5.12 seconds.