The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^20+56x^21+161x^22+200x^23+340x^24+420x^25+827x^26+1054x^27+1664x^28+2366x^29+2102x^30+2340x^31+1671x^32+1100x^33+882x^34+448x^35+340x^36+136x^37+105x^38+52x^39+36x^40+16x^41+19x^42+2x^43+4x^44+2x^45

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 4.42 seconds.