The generator matrix

 1  0  0  1  1  1  6  1  1  4  1  2  1  4  1  1  1  6  6  2  2  1  1  1  1  1  0  2  1  1
 0  1  0  1  6  3  1  0  1  1  2  1  3  2  3  7  5  0  1  2  1  6  1  5  3  6  0  6  0  0
 0  0  1  1  3  6  3  6  3  2  1  1  0  1  3  1  0  1  0  1  1  0  2  3  3  0  1  6  0  0
 0  0  0  4  0  0  0  0  0  0  4  4  0  4  0  0  4  4  0  4  4  4  0  0  0  4  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  0  4  0  4  0  0  0  4  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  0  4  4  4  4  0  0  0  4  0  4  0  0  0  0  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  4  0  4  0  0  0  4  4  4  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  4  4  4  4  0  4  0  4  0  0  0  4  0  0
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  0  0  4  4  4  4  0  0  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+32x^20+12x^21+171x^22+160x^23+582x^24+832x^25+1686x^26+2640x^27+3438x^28+4600x^29+4543x^30+4496x^31+3507x^32+2592x^33+1632x^34+880x^35+592x^36+156x^37+149x^38+16x^39+38x^40+10x^42+2x^44+1x^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 9.34 seconds.