The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  4  4  2  2  6  6  0  6  0  2  0  2  4  4  0  6  6  4  0
 0  0  2  0  0  0  0  4  6  2  6  6  6  6  6  4  2  4  0  2  4  2  2  0  2  2  2  6  4  0
 0  0  0  2  0  0  0  6  6  4  4  2  6  6  6  6  2  2  2  4  6  6  2  4  4  2  6  6  2  0
 0  0  0  0  2  0  0  2  0  0  2  4  2  6  2  0  4  2  0  6  4  2  2  0  0  6  4  6  4  0
 0  0  0  0  0  2  0  2  4  2  6  2  4  6  0  0  6  0  2  4  4  6  6  6  4  6  0  6  6  0
 0  0  0  0  0  0  2  2  4  2  0  0  2  2  4  6  0  4  4  4  4  0  2  2  4  0  2  4  2  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^20+106x^21+363x^22+392x^23+598x^24+700x^25+993x^26+1472x^27+2772x^28+5454x^29+6674x^30+5542x^31+2909x^32+1602x^33+1032x^34+694x^35+594x^36+304x^37+258x^38+90x^39+84x^40+26x^41+23x^42+2x^43+6x^44+1x^54

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 18.1 seconds.