The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  4  1  1  2  2  6  1  1  6  1  1  2  1  0  6
 0  1  0  1  2  3  1  1  0  7  6  0  1  7  2  2  1  1  2  4  1  0  3  6  3  2  1
 0  0  1  1  1  0  3  2  2  2  1  1  3  3  3  1  1  2  6  1  0  0  6  1  3  4  2
 0  0  0  2  0  6  2  2  6  4  2  6  6  2  6  0  0  6  4  4  4  2  2  6  4  2  2
 0  0  0  0  4  0  0  0  4  4  0  0  4  0  4  0  4  4  4  0  0  4  0  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  4  4  4  4  4  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  4  0  0  0  4  4  4  4  4  0  0  0  4  0  4  0  0  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  4  4  4  0  0  0  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+271x^20+288x^21+1010x^22+1256x^23+2934x^24+3408x^25+4978x^26+4408x^27+5054x^28+3456x^29+2886x^30+1240x^31+1057x^32+272x^33+214x^34+8x^35+26x^36+1x^52

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 17.9 seconds.