The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+170x^21+581x^22+740x^23+1465x^24+1582x^25+2509x^26+2130x^27+2663x^28+1712x^29+1505x^30+680x^31+406x^32+118x^33+75x^34+34x^35+9x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=108, k=14 and d=42.
This code was found by Heurico 1.11 in 1.3 seconds.