The generator matrix 1 0 0 0 1 1 1 1 1 9 15 1 1 1 1 3 1 3 1 1 1 1 1 21 1 1 9 1 24 1 1 9 1 1 12 1 1 3 1 1 1 0 1 1 1 1 6 1 1 1 1 9 24 1 21 18 1 1 1 15 21 1 1 6 1 1 15 1 1 15 12 1 1 1 1 1 18 1 1 1 1 6 15 1 1 1 1 1 0 1 0 0 18 9 18 3 21 6 15 24 14 5 7 1 19 1 1 1 5 16 11 1 17 23 1 11 1 9 26 1 13 7 1 8 4 1 6 7 20 1 25 14 6 2 0 19 19 6 3 18 1 24 12 1 20 6 4 1 1 12 5 1 22 23 1 23 24 1 0 19 4 25 21 13 1 5 16 21 8 1 1 22 0 7 6 0 0 0 1 0 16 21 22 26 18 1 1 10 9 17 2 0 7 17 23 1 20 12 4 16 1 12 13 2 15 11 22 26 14 15 22 15 0 14 20 1 19 25 26 7 8 6 1 19 8 17 19 1 1 22 12 2 14 7 24 12 21 0 13 8 5 15 21 3 20 25 1 18 2 13 8 18 26 18 23 12 23 24 3 20 9 7 2 0 0 0 0 1 14 20 21 7 22 26 16 19 25 9 7 17 8 5 5 25 13 22 13 15 11 17 1 17 19 23 24 13 18 0 11 3 2 9 15 3 5 13 10 10 2 1 6 1 15 7 17 17 5 22 1 2 15 6 22 17 19 19 25 21 26 13 15 15 23 3 10 11 11 6 9 25 14 3 17 20 12 0 22 15 11 22 12 9 generates a code of length 88 over Z27 who´s minimum homogenous weight is 163. Homogenous weight enumerator: w(x)=1x^0+528x^163+804x^164+3222x^165+5112x^166+6858x^167+11694x^168+15558x^169+17508x^170+26262x^171+28368x^172+32502x^173+41950x^174+43698x^175+44010x^176+50168x^177+45684x^178+37776x^179+38720x^180+28182x^181+18612x^182+14904x^183+9216x^184+4674x^185+2956x^186+1272x^187+480x^188+318x^189+174x^190+66x^191+44x^192+36x^193+6x^194+18x^195+36x^196+12x^198+6x^199+6x^202 The gray image is a code over GF(3) with n=792, k=12 and d=489. This code was found by Heurico 1.16 in 770 seconds.