The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 0 1 1 1 3 1 1 1 3 1 1 1 1 1 0 3 1 1 0 1 0 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 6 18 21 3 0 24 6 0 12 0 21 15 3 24 9 21 0 21 9 6 24 9 6 12 9 15 21 18 12 21 3 18 6 6 15 6 21 12 12 24 6 6 0 0 3 24 3 12 21 15 15 12 24 21 6 18 15 15 3 21 6 15 3 9 3 15 0 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 9 0 18 9 9 0 18 9 9 18 18 9 9 0 9 9 18 0 9 9 0 9 18 9 18 9 9 9 18 18 0 18 18 0 18 9 0 18 0 0 9 18 18 18 0 18 0 18 9 18 9 9 18 0 0 18 9 18 18 0 18 18 0 0 9 0 0 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 9 18 0 9 9 9 9 0 9 18 0 0 18 0 18 0 9 18 18 18 18 0 9 0 9 0 18 9 0 18 0 9 9 18 0 9 9 9 0 0 9 18 18 0 0 0 9 18 9 9 0 9 9 0 0 9 18 0 0 9 9 9 18 0 18 0 9 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 9 18 9 9 0 9 0 9 0 9 9 9 9 0 9 18 0 9 18 18 0 0 9 0 9 0 9 0 18 18 0 0 18 18 18 0 0 9 0 9 18 9 9 9 9 9 9 18 9 0 18 0 0 9 9 0 9 0 9 18 9 0 0 18 9 0 9 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 9 0 0 18 0 9 0 0 18 0 18 9 0 18 9 18 18 9 9 18 0 9 9 0 18 9 18 9 0 9 9 0 0 18 0 9 9 18 18 18 18 0 9 18 0 18 18 18 9 9 0 0 18 18 9 9 0 9 18 9 18 18 18 18 18 0 18 generates a code of length 88 over Z27 who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+78x^162+48x^163+354x^165+114x^166+66x^167+536x^168+156x^169+330x^170+970x^171+720x^172+1248x^173+1760x^174+2172x^175+2322x^176+2128x^177+2160x^178+1668x^179+1274x^180+222x^181+156x^182+318x^183+90x^184+42x^185+246x^186+114x^187+170x^189+36x^190+108x^192+16x^195+22x^198+10x^201+8x^204+12x^207+4x^210+2x^216+2x^237 The gray image is a code over GF(3) with n=792, k=9 and d=486. This code was found by Heurico 1.16 in 3.61 seconds.