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 3 1 1 1 1 1 1 3 1 1 0 3 1 1 3 1 0 3 1 1 1 3 1 1 0 1 1 0 3 1 1 3 0 1 3 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 15 6 18 21 3 0 3 18 3 24 18 24 9 3 24 9 18 3 6 12 15 12 18 6 12 6 9 0 0 12 18 3 21 15 18 6 12 12 9 21 3 24 3 6 18 6 24 3 12 3 21 21 9 24 24 3 21 24 21 9 24 18 9 3 21 12 3 21 3 9 24 3 24 24 21 24 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 18 0 0 18 9 9 18 9 0 9 18 18 18 9 18 9 9 0 9 0 9 0 0 9 9 9 18 18 9 0 9 0 18 9 9 0 18 18 0 0 18 18 9 9 9 18 18 0 0 0 9 18 9 0 18 0 9 18 18 9 18 9 0 0 18 18 18 9 18 18 0 0 18 18 9 9 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 18 0 9 9 18 18 0 18 0 18 9 18 18 9 18 18 0 0 9 18 18 9 0 9 9 18 0 18 18 9 18 0 0 0 0 0 18 0 18 9 9 18 0 0 18 9 0 18 9 0 0 9 0 0 0 9 9 18 9 0 18 0 0 9 0 18 0 9 18 9 0 18 9 0 0 9 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 0 18 0 9 9 18 18 9 18 18 9 9 18 0 0 9 0 18 9 0 18 0 18 0 9 0 18 18 18 9 0 0 18 18 0 18 18 0 9 0 18 0 0 18 18 0 9 18 9 9 9 0 0 9 18 18 9 18 9 9 9 18 9 0 0 0 9 0 0 9 0 18 0 9 0 18 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 0 18 18 9 0 0 0 9 9 0 18 9 18 18 18 18 18 18 18 9 18 0 9 9 9 0 9 0 9 9 18 9 18 9 9 9 18 18 0 18 9 9 9 18 18 0 0 18 0 0 0 0 0 0 18 9 0 18 0 18 9 0 9 9 9 18 18 9 0 9 18 9 18 18 0 0 generates a code of length 97 over Z27 who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+130x^180+6x^181+96x^182+330x^183+114x^184+168x^185+486x^186+552x^187+204x^188+988x^189+1596x^190+192x^191+1720x^192+3210x^193+210x^194+2150x^195+3198x^196+144x^197+1292x^198+1362x^199+162x^200+330x^201+132x^202+162x^203+240x^204+30x^205+78x^206+172x^207+6x^208+36x^209+92x^210+24x^213+6x^215+30x^216+10x^219+10x^222+6x^225+2x^228+2x^231+2x^240+2x^249 The gray image is a code over GF(3) with n=873, k=9 and d=540. This code was found by Heurico 1.16 in 4.14 seconds.