The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+223x^20+120x^21+698x^22+536x^23+1558x^24+1392x^25+2526x^26+2032x^27+2774x^28+1432x^29+1654x^30+504x^31+595x^32+128x^33+178x^34+27x^36+6x^40

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 3.25 seconds.