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 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 0 1 1 3 1 3 3 1 1 1 1 1 3 3 3 1 3 3 9 1 1 1 1 0 3 0 0 0 24 21 15 3 6 24 21 21 9 15 3 12 18 15 0 24 3 21 24 18 24 0 24 9 3 3 9 9 15 12 18 12 3 6 24 18 15 9 21 0 6 24 21 21 6 24 24 9 12 3 9 3 9 18 3 21 21 21 15 21 6 0 6 12 3 18 15 18 0 15 12 9 18 24 0 6 15 0 6 21 15 21 0 21 18 21 24 12 18 3 6 21 12 0 0 0 3 0 9 18 9 18 0 0 24 12 6 6 12 6 15 3 3 3 15 3 12 24 24 12 24 9 3 9 6 21 6 6 12 6 3 15 12 0 6 6 9 0 21 9 9 12 9 12 15 3 0 9 15 15 15 18 9 12 6 24 3 15 12 3 15 9 0 15 0 15 21 0 12 9 18 18 21 21 0 18 3 6 3 24 9 6 0 24 21 21 6 18 24 24 0 24 24 0 0 0 3 15 0 6 3 12 15 9 9 18 0 18 3 6 6 12 21 21 12 24 24 24 6 21 21 24 24 0 9 6 3 21 0 24 24 18 9 12 18 21 3 21 21 6 0 18 15 24 3 6 6 3 21 6 9 12 24 3 6 9 0 12 24 18 9 0 12 6 24 3 21 21 9 3 15 0 6 21 3 18 12 3 0 21 18 0 15 12 9 0 15 6 24 12 24 3 generates a code of length 99 over Z27 who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+168x^187+258x^188+242x^189+420x^190+606x^191+650x^192+738x^193+1038x^194+1418x^195+1194x^196+1884x^197+2902x^198+1446x^199+1944x^200+1788x^201+798x^202+594x^203+278x^204+174x^205+132x^206+90x^207+168x^208+138x^209+50x^210+126x^211+96x^212+56x^213+48x^214+66x^215+26x^216+36x^217+48x^218+24x^219+30x^220+6x^222+2x^264 The gray image is a code over GF(3) with n=891, k=9 and d=561. This code was found by Heurico 1.16 in 5.6 seconds.