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 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 3 1 3 1 3 1 1 1 1 1 9 1 1 1 3 9 9 1 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 9 18 0 9 18 9 9 9 0 18 9 9 9 0 9 0 9 9 18 18 0 18 0 0 18 0 18 18 18 0 9 18 9 18 18 18 18 18 0 18 0 0 9 0 9 18 9 9 9 9 0 9 18 9 9 18 9 9 18 9 18 9 9 9 18 9 18 18 9 9 18 9 0 0 0 9 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 18 0 0 9 18 9 9 9 18 18 9 0 9 0 9 0 9 0 18 18 0 18 0 9 18 18 9 9 9 0 0 9 0 9 9 18 18 18 9 9 0 0 9 18 18 18 0 9 0 0 9 9 18 18 18 9 0 18 0 0 9 0 18 18 9 0 9 0 9 9 0 9 9 0 9 9 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 0 18 9 9 9 18 18 9 18 9 0 0 9 0 0 9 9 0 9 18 0 0 9 9 0 18 0 9 9 0 18 0 9 9 9 0 18 18 18 0 0 9 9 0 9 9 18 9 18 0 9 18 0 18 0 0 9 18 18 0 18 0 9 9 18 0 0 0 18 9 9 18 18 9 0 18 18 9 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 9 0 9 18 0 18 9 18 0 18 0 0 9 9 18 18 9 18 18 18 9 9 9 0 9 9 0 18 0 0 18 18 0 0 9 9 9 18 18 18 9 9 18 9 0 18 9 18 18 0 0 0 9 0 0 9 0 0 9 9 9 0 18 0 9 9 18 9 0 9 0 9 9 0 9 9 9 0 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 18 18 18 9 18 9 9 0 0 0 18 0 9 18 0 0 0 0 18 18 9 9 0 0 9 0 9 9 18 9 0 0 0 9 18 9 18 18 9 9 18 0 18 9 18 18 0 18 0 0 9 18 0 9 9 0 0 18 0 18 9 0 18 9 18 0 9 0 0 18 0 18 9 9 9 18 18 18 generates a code of length 96 over Z27 who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+110x^180+18x^181+92x^183+108x^184+280x^186+210x^187+1076x^189+282x^190+2004x^192+408x^193+1342x^195+276x^196+44x^198+132x^199+28x^201+24x^202+32x^204+16x^207+14x^210+14x^213+20x^216+10x^219+2x^222+12x^228+2x^231+2x^234+2x^258 The gray image is a code over GF(3) with n=864, k=8 and d=540. This code was found by Heurico 1.16 in 4.55 seconds.