The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+52x^14+118x^16+128x^17+192x^18+384x^19+280x^20+384x^21+232x^22+128x^23+104x^24+32x^26+8x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=80, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0991 seconds.