The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^20+422x^21+1028x^22+1424x^23+2644x^24+3590x^25+4529x^26+4944x^27+4985x^28+3700x^29+2694x^30+1432x^31+749x^32+302x^33+165x^34+56x^35+23x^36+2x^37

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 9.39 seconds.