The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 24 1 1 1 0 1 1 21 1 1 1 24 1 1 1 1 0 1 1 1 1 1 1 1 21 1 1 1 24 1 0 1 9 1 1 1 1 1 1 21 1 1 1 12 1 1 1 1 1 6 1 12 1 1 1 1 1 21 1 18 1 1 6 1 21 0 1 7 26 21 4 20 1 24 19 23 1 1 16 0 26 20 4 1 21 1 23 24 19 1 23 4 0 1 16 21 1 26 4 24 1 20 19 26 19 1 0 23 11 12 9 19 21 1 16 24 16 1 13 1 26 1 10 1 7 20 23 21 1 8 20 26 1 11 21 8 11 16 1 3 1 2 5 3 24 0 1 4 1 8 8 1 23 1 0 0 9 0 0 0 18 18 9 9 9 0 9 9 0 0 9 9 18 18 9 9 0 18 0 18 18 18 0 0 9 18 9 0 18 0 18 0 18 0 18 0 0 9 9 0 0 18 18 9 9 9 9 0 18 0 9 9 18 18 18 18 0 9 9 0 0 9 9 9 0 18 0 0 18 0 18 18 18 0 9 18 9 0 9 18 18 9 0 0 0 0 9 0 0 18 18 18 0 9 9 18 18 9 0 18 9 18 0 18 0 18 0 0 9 18 0 18 9 9 18 0 18 9 9 9 9 9 9 9 9 9 0 18 18 0 0 0 9 0 9 9 0 18 0 9 9 18 9 9 0 0 18 18 18 0 0 9 18 9 18 9 9 9 0 0 18 0 0 0 9 0 0 9 18 0 18 18 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 0 18 18 18 0 0 9 18 18 0 18 0 0 18 0 9 9 9 0 9 0 9 0 18 0 18 0 9 9 18 18 9 0 9 18 0 0 18 9 9 9 9 18 9 0 9 0 9 0 9 18 0 18 0 9 9 9 18 9 0 9 9 0 0 9 18 0 0 0 0 0 9 18 0 18 18 18 18 18 9 18 9 18 0 18 9 18 0 0 9 9 18 0 0 9 0 0 18 0 18 18 9 0 0 18 9 0 9 18 9 9 0 0 18 9 9 18 9 18 18 9 18 0 0 18 18 9 18 0 0 18 9 9 0 0 0 0 9 18 9 9 18 9 0 0 9 9 18 18 0 18 18 9 0 0 generates a code of length 89 over Z27 who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+238x^165+54x^166+162x^167+610x^168+702x^169+1368x^170+956x^171+2250x^172+3204x^173+1722x^174+4248x^175+6444x^176+2392x^177+6462x^178+7974x^179+2342x^180+5526x^181+5382x^182+1474x^183+2340x^184+1656x^185+604x^186+288x^187+54x^188+330x^189+134x^192+60x^195+22x^198+6x^201+16x^204+10x^207+8x^210+4x^213+2x^216+4x^222 The gray image is a code over GF(3) with n=801, k=10 and d=495. This code was found by Heurico 1.16 in 47.8 seconds.