The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+126x^20+120x^21+444x^22+824x^23+1424x^24+1784x^25+1972x^26+2712x^27+2409x^28+1832x^29+1220x^30+808x^31+483x^32+104x^33+76x^34+8x^35+32x^36+4x^40+1x^44

The gray image is a code over GF(2) with n=108, k=14 and d=40.
This code was found by Heurico 1.16 in 2.62 seconds.