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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 3 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 18 9 9 9 0 9 9 9 18 0 0 18 9 9 18 0 18 9 0 9 9 18 0 0 0 18 9 0 18 9 0 0 0 9 9 18 9 0 9 0 18 0 18 18 9 9 0 18 9 18 9 9 9 18 0 0 9 18 9 9 18 0 18 9 9 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 18 0 9 9 18 18 18 18 18 18 9 18 0 9 18 0 18 0 9 9 0 18 0 9 0 9 0 9 9 18 0 0 9 18 9 9 0 0 0 18 0 0 9 18 18 18 18 18 18 18 18 18 0 9 18 9 9 0 9 9 18 0 9 18 9 18 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 9 9 0 18 9 0 0 0 9 9 9 18 18 18 0 9 0 18 0 18 0 18 9 0 9 0 9 9 18 18 0 0 9 0 0 9 9 18 18 9 18 18 0 9 0 9 9 9 9 0 0 18 0 9 18 0 0 0 9 9 0 9 0 18 18 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 18 9 0 0 0 9 0 0 18 9 9 9 0 0 18 0 18 18 0 18 18 9 9 18 9 0 9 18 9 0 18 18 9 9 9 0 18 0 0 0 0 18 18 0 9 0 18 0 9 9 9 9 0 9 9 18 0 9 18 9 18 18 0 9 9 0 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 18 9 9 18 18 9 0 0 18 18 18 18 0 0 18 9 0 0 18 18 9 18 0 9 9 18 9 0 0 18 18 0 9 9 9 0 9 9 0 9 18 0 0 0 0 9 18 0 0 18 18 9 18 9 9 18 0 0 9 0 9 0 9 18 18 0 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 9 9 9 9 18 0 0 9 18 0 9 18 18 9 9 18 18 9 0 18 9 0 9 0 0 9 18 9 9 9 9 0 9 9 0 18 18 0 18 18 0 0 0 18 18 9 18 9 0 0 9 18 18 9 9 9 0 18 9 18 0 18 9 0 0 0 generates a code of length 89 over Z27 who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+78x^159+166x^162+208x^165+6x^166+216x^168+72x^169+240x^171+360x^172+192x^174+960x^175+150x^177+14562x^178+160x^180+1152x^181+134x^183+384x^184+104x^186+132x^189+88x^192+104x^195+44x^198+62x^201+44x^204+40x^207+18x^210+4x^222+2x^249 The gray image is a code over GF(3) with n=801, k=9 and d=477. This code was found by Heurico 1.16 in 5.03 seconds.