The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+64x^15+220x^16+288x^17+456x^18+664x^19+710x^20+688x^21+464x^22+288x^23+154x^24+48x^25+40x^26+8x^27+2x^28+1x^32

The gray image is a code over GF(2) with n=80, k=12 and d=30.
This code was found by Heurico 1.16 in 0.149 seconds.