The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^20+58x^21+190x^22+320x^23+973x^24+1622x^25+3604x^26+4552x^27+8165x^28+7772x^29+10852x^30+7784x^31+8221x^32+4580x^33+3600x^34+1624x^35+954x^36+298x^37+174x^38+56x^39+53x^40+6x^41+12x^42+5x^44+1x^52

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 34.9 seconds.