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 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3 1 1 1 1 3 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 9 18 0 9 0 18 18 9 18 18 18 0 18 9 9 9 0 0 9 0 9 18 9 18 0 0 9 9 18 9 0 9 9 0 9 18 18 9 0 18 0 9 9 18 18 9 0 9 9 18 18 0 9 0 18 18 9 0 0 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 9 18 18 9 9 18 9 0 0 9 0 18 9 9 0 9 0 0 18 9 9 9 9 18 9 18 0 0 9 9 0 0 9 18 18 9 9 18 0 9 0 18 18 0 9 0 18 0 18 0 0 18 18 9 18 0 18 18 9 0 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 18 0 18 9 18 9 18 9 9 9 0 9 9 0 9 18 9 18 0 0 18 0 0 18 18 18 0 9 9 0 18 0 0 9 9 9 9 18 0 9 0 0 0 0 9 18 0 9 18 9 18 18 18 0 9 0 18 9 0 9 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 0 9 9 18 9 18 18 0 9 9 9 18 18 18 0 0 0 18 9 0 9 0 0 9 0 18 18 0 18 18 18 9 9 0 0 0 0 9 18 18 18 9 18 18 9 9 9 9 0 18 9 9 9 18 18 18 18 18 18 9 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 0 9 0 18 18 18 9 18 0 18 9 9 9 0 0 0 0 0 0 18 0 9 18 9 0 18 18 9 9 0 9 9 0 9 18 18 18 18 0 0 0 9 0 18 9 0 18 18 0 9 18 18 18 0 9 0 9 18 18 18 0 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 9 18 18 18 18 0 9 18 9 9 9 18 18 9 18 9 9 9 9 0 18 9 9 9 0 9 9 18 18 0 0 0 9 9 0 18 0 18 0 0 18 18 9 18 0 9 0 9 9 9 9 9 18 18 18 9 9 18 18 0 0 generates a code of length 79 over Z27 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+38x^138+122x^141+196x^144+216x^147+90x^149+206x^150+360x^152+222x^153+900x^155+182x^156+14652x^158+140x^159+1098x^161+150x^162+396x^164+170x^165+136x^168+86x^171+100x^174+76x^177+62x^180+38x^183+22x^186+10x^189+10x^192+2x^198+2x^219 The gray image is a code over GF(3) with n=711, k=9 and d=414. This code was found by Heurico 1.16 in 4.3 seconds.