The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+215x^18+720x^20+16x^21+1642x^22+512x^23+3448x^24+1904x^25+6158x^26+3328x^27+6308x^28+1904x^29+3640x^30+512x^31+1615x^32+16x^33+591x^34+188x^36+38x^38+8x^40+4x^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 15 seconds.