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 3 1 1 0 1 3 1 1 1 1 1 1 1 1 1 1 3 1 0 1 1 1 1 3 1 3 1 1 1 1 1 0 3 3 1 1 3 0 3 24 0 21 24 9 21 6 0 21 24 15 12 18 21 0 24 12 18 15 24 21 0 9 3 24 18 15 21 3 0 21 18 12 9 24 15 9 15 9 21 6 18 24 9 3 9 18 15 21 3 21 24 6 9 3 9 21 15 3 12 0 12 9 3 15 0 21 24 21 3 9 3 9 9 21 0 24 12 24 18 0 6 3 24 21 18 6 21 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 0 9 18 0 18 18 18 18 9 18 18 9 18 0 18 18 0 18 0 9 18 0 18 9 9 18 0 9 18 9 18 0 0 9 0 0 18 18 9 9 0 18 0 0 18 9 18 0 0 9 9 9 18 0 9 9 9 9 0 9 18 9 9 18 0 0 18 18 18 0 18 18 0 0 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 18 18 9 0 9 18 0 0 9 9 9 0 18 9 18 0 18 0 0 0 0 18 0 18 18 18 18 0 18 0 18 18 0 18 9 18 18 9 0 0 18 0 9 0 9 18 0 9 9 9 0 18 9 9 9 0 0 9 18 18 9 0 18 9 9 9 0 0 9 18 9 0 9 0 9 0 0 0 0 18 0 0 9 0 18 18 9 18 0 9 9 18 0 9 0 18 18 18 0 18 9 9 9 9 9 18 9 0 9 9 0 18 0 9 0 18 18 9 9 18 0 18 0 18 18 0 18 18 9 0 9 18 9 9 9 9 0 0 9 18 18 9 0 0 0 9 0 9 9 9 0 18 18 9 0 0 9 0 0 0 18 9 0 0 9 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 0 9 0 0 18 18 18 0 18 18 0 0 9 0 9 9 18 9 18 9 18 0 18 9 18 0 9 18 18 0 9 18 18 18 18 0 18 9 0 18 0 9 0 0 0 9 0 9 9 9 9 9 0 18 18 9 0 18 18 9 9 0 18 0 0 9 18 9 18 9 9 9 0 0 0 generates a code of length 90 over Z27 who´s minimum homogenous weight is 166. Homogenous weight enumerator: w(x)=1x^0+78x^166+122x^168+342x^169+18x^170+202x^171+588x^172+180x^173+436x^174+984x^175+720x^176+1332x^177+1938x^178+1440x^179+2302x^180+2316x^181+1440x^182+1706x^183+1470x^184+576x^185+240x^186+444x^187+76x^189+300x^190+50x^192+222x^193+18x^195+30x^196+24x^198+36x^199+16x^201+8x^204+6x^207+2x^210+8x^213+4x^216+2x^219+2x^225+2x^228+2x^234 The gray image is a code over GF(3) with n=810, k=9 and d=498. This code was found by Heurico 1.16 in 15.7 seconds.