The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+184x^27+121x^28+260x^29+64x^30+160x^31+39x^32+88x^33+72x^35+30x^36+4x^37+1x^44

The gray image is a code over GF(2) with n=120, k=10 and d=54.
This code was found by Heurico 1.16 in 6.53 seconds.