The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+27x^20+135x^22+24x^23+421x^24+296x^25+836x^26+1272x^27+1578x^28+2504x^29+2146x^30+2504x^31+1662x^32+1272x^33+860x^34+296x^35+363x^36+24x^37+111x^38+35x^40+8x^42+8x^44+1x^48

The gray image is a code over GF(2) with n=120, k=14 and d=40.
This code was found by Heurico 1.16 in 3.11 seconds.