The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^20+146x^22+663x^24+128x^25+1148x^26+640x^27+2536x^28+1280x^29+3036x^30+1280x^31+2662x^32+640x^33+1168x^34+128x^35+604x^36+130x^38+81x^40+4x^42+16x^44+1x^48

The gray image is a code over GF(2) with n=120, k=14 and d=40.
This code was found by Heurico 1.16 in 4.39 seconds.