The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 23 26  0 21 23 26  0  9
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18 18  0  9  0  0 18
 0  0  0  9  9 18 18  9  9  0  0 18  9  9  0 18  9 18  0 18  9

generates a code of length 21 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+62x^36+108x^37+156x^38+308x^39+1272x^40+480x^41+596x^42+2538x^43+468x^44+396x^45+126x^46+24x^47+4x^48+6x^49+6x^50+2x^51+6x^54+2x^60

The gray image is a code over GF(3) with n=189, k=8 and d=108.
This code was found by Heurico 1.16 in 0.0343 seconds.