The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^20+98x^21+336x^22+486x^23+925x^24+1582x^25+2879x^26+4780x^27+7150x^28+9326x^29+9945x^30+9482x^31+7225x^32+4998x^33+2930x^34+1526x^35+906x^36+360x^37+262x^38+104x^39+81x^40+20x^41+31x^42+6x^43+6x^44+1x^46

The gray image is a code over GF(2) with n=120, k=16 and d=40.
This code was found by Heurico 1.16 in 50.1 seconds.