The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^20+94x^21+289x^22+284x^23+707x^24+964x^25+1724x^26+2450x^27+3235x^28+4340x^29+4175x^30+4448x^31+3361x^32+2528x^33+1728x^34+924x^35+676x^36+254x^37+255x^38+84x^39+91x^40+12x^41+20x^42+2x^43+11x^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 16.6 seconds.