The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^15+107x^16+138x^17+218x^18+302x^19+383x^20+340x^21+220x^22+136x^23+75x^24+34x^25+10x^26+14x^27+9x^28+1x^32

The gray image is a code over GF(2) with n=80, k=11 and d=30.
This code was found by Heurico 1.16 in 12 seconds.