The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^14+332x^15+814x^16+1132x^17+1958x^18+2328x^19+2966x^20+2426x^21+2073x^22+1204x^23+655x^24+232x^25+140x^26+24x^27+12x^28+2x^29

The gray image is a code over GF(2) with n=80, k=14 and d=28.
This code was found by Heurico 1.11 in 0.75 seconds.