The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^21+147x^22+288x^23+525x^24+1002x^25+1437x^26+2426x^27+3630x^28+4316x^29+4905x^30+4610x^31+3563x^32+2480x^33+1597x^34+882x^35+437x^36+274x^37+104x^38+46x^39+34x^40+14x^41+2x^42+4x^43+1x^44+1x^48

The gray image is a code over GF(2) with n=120, k=15 and d=42.
This code was found by Heurico 1.16 in 13.7 seconds.