The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+76x^22+256x^23+419x^24+574x^25+464x^26+578x^27+522x^28+504x^29+308x^30+224x^31+118x^32+26x^33+8x^34+14x^35+4x^36

The gray image is a code over GF(2) with n=108, k=12 and d=44.
This code was found by Heurico 1.16 in 0.195 seconds.