The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+157x^22+32x^23+234x^24+128x^25+413x^26+192x^27+369x^28+128x^29+207x^30+32x^31+88x^32+55x^34+11x^36+1x^40

The gray image is a code over GF(2) with n=108, k=11 and d=44.
This code was found by Heurico 1.16 in 6.23 seconds.