The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+242x^20+248x^21+1000x^22+1236x^23+2867x^24+3360x^25+5080x^26+4588x^27+5184x^28+3480x^29+2808x^30+1196x^31+1018x^32+208x^33+200x^34+20x^35+30x^36+1x^40+1x^48

The gray image is a code over GF(2) with n=108, k=15 and d=40.
This code was found by Heurico 1.16 in 10.7 seconds.