The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  0  1  2  4  2  2  2  0  2  1  2  0  1  2  1
 0  2  0  0  0  0  0  0  0  6  2  2  4  6  4  2  2  2  4  0  4  2  4  4  2  0  2  2  0  0
 0  0  2  0  0  0  0  0  2  2  2  0  2  4  4  2  6  0  2  0  0  4  0  6  4  2  4  2  6  0
 0  0  0  2  0  0  0  2  0  2  6  4  2  4  6  2  4  0  0  0  6  2  4  2  6  2  2  4  6  0
 0  0  0  0  2  0  2  2  2  2  4  6  6  6  6  0  2  6  2  6  0  2  2  0  4  4  4  0  6  0
 0  0  0  0  0  2  2  0  4  2  2  0  4  2  6  0  2  4  4  0  6  6  6  6  4  0  4  6  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  0  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  4  4  0  0  0  0  0  0  4  4  4  0  4  0  4  4  0  0  0  4  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+104x^20+118x^21+319x^22+462x^23+768x^24+1060x^25+1777x^26+2398x^27+3169x^28+4114x^29+4044x^30+4134x^31+3247x^32+2510x^33+1850x^34+1094x^35+686x^36+368x^37+303x^38+100x^39+88x^40+22x^41+21x^42+4x^43+1x^44+6x^46

The gray image is a code over GF(2) with n=120, k=15 and d=40.
This code was found by Heurico 1.16 in 17.8 seconds.