The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^20+108x^22+772x^24+256x^25+1632x^26+2048x^27+4622x^28+4096x^29+5720x^30+3584x^31+4799x^32+1792x^33+1664x^34+512x^35+760x^36+92x^38+120x^40+14x^44+4x^48

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 11 seconds.