The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^20+24x^21+316x^22+176x^23+927x^24+488x^25+1732x^26+672x^27+1762x^28+488x^29+964x^30+176x^31+265x^32+24x^33+60x^34+25x^36+7x^40

The gray image is a code over GF(2) with n=108, k=13 and d=40.
This code was found by Heurico 1.16 in 0.792 seconds.