The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+48x^21+135x^22+212x^23+299x^24+388x^25+646x^26+1080x^27+1740x^28+2336x^29+2562x^30+2402x^31+1739x^32+1084x^33+643x^34+422x^35+293x^36+168x^37+106x^38+42x^39+20x^40+8x^41+3x^42+2x^43+3x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=120, k=14 and d=42.
This code was found by Heurico 1.16 in 5.09 seconds.