The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  1  0  1  2  2  2  1  4  2  0  4  1  1  1
 0  2  0  0  0  0  0  0  0  2  6  6  6  2  2  2  6  0  4  6  0  4  4  2  6  4  0
 0  0  2  0  0  0  2  6  2  2  2  6  6  0  6  4  0  2  2  2  2  4  0  6  2  0  2
 0  0  0  2  0  2  2  6  0  0  4  4  6  0  2  6  2  2  4  2  4  2  0  2  6  0  2
 0  0  0  0  2  2  0  6  2  0  6  2  2  6  4  0  2  4  0  0  6  2  2  6  2  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  4  0  4  0  4  4  0  4  4  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  4  0  0  0  4  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  4  0  4  0  0  4  4  0  4  0  0  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  0  4  0  4  4  4

generates a code of length 27 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+178x^18+733x^20+48x^21+1636x^22+544x^23+3509x^24+2000x^25+6122x^26+3008x^27+6262x^28+2000x^29+3748x^30+544x^31+1601x^32+48x^33+562x^34+173x^36+40x^38+9x^40+2x^42

The gray image is a code over GF(2) with n=108, k=15 and d=36.
This code was found by Heurico 1.16 in 14.5 seconds.