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 0 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 0 1 3 3 1 0 3 0 0 24 21 3 15 24 9 18 21 21 24 6 18 24 21 24 18 3 15 0 18 12 12 24 3 18 6 21 6 6 12 12 24 6 0 0 18 12 6 9 15 0 0 9 21 21 12 6 15 21 3 15 6 15 21 6 15 3 9 9 0 18 3 9 21 0 12 12 18 21 15 12 18 12 3 15 21 21 12 0 3 6 18 9 9 0 0 3 24 9 6 3 21 15 15 0 15 3 18 12 12 24 9 9 9 0 12 6 3 12 15 24 12 0 12 0 9 6 6 3 18 21 24 12 24 9 18 3 12 9 18 3 18 24 6 24 6 3 18 24 0 0 6 6 6 6 24 18 18 24 3 6 6 24 24 0 9 18 3 12 21 3 12 9 0 24 24 21 18 9 24 3 9 0 0 0 9 0 0 0 0 0 0 18 18 9 9 18 9 18 9 18 9 18 9 18 18 18 9 9 18 9 9 9 9 18 9 9 18 0 0 9 18 18 0 0 18 18 0 18 0 0 18 0 9 0 9 0 0 18 9 9 18 0 9 9 18 9 0 9 18 18 0 0 0 18 0 9 9 18 0 0 0 9 18 18 18 18 18 18 9 generates a code of length 88 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+70x^168+180x^169+198x^170+420x^171+366x^172+432x^173+720x^174+354x^175+1128x^176+898x^177+348x^178+600x^179+408x^180+42x^181+24x^182+64x^183+36x^184+24x^185+34x^186+42x^187+12x^188+26x^189+54x^190+12x^191+24x^192+24x^193+6x^195+6x^196+6x^199+2x^237 The gray image is a code over GF(3) with n=792, k=8 and d=504. This code was found by Heurico 1.16 in 0.688 seconds.