The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+52x^10+165x^12+64x^13+434x^14+576x^15+1224x^16+2496x^17+3586x^18+5056x^19+5415x^20+5056x^21+3652x^22+2496x^23+1228x^24+576x^25+424x^26+64x^27+147x^28+42x^30+11x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=80, k=15 and d=20.
This code was found by Heurico 1.16 in 20.6 seconds.