The generator matrix 1 0 1 1 1 1 21 1 1 1 24 1 1 1 21 1 1 0 1 24 1 1 1 1 1 1 18 1 1 1 1 15 0 1 1 1 1 1 0 1 3 15 1 1 1 1 12 1 1 1 1 15 1 1 1 1 1 9 1 1 1 21 1 1 1 0 1 1 1 15 1 1 1 9 12 1 1 1 1 1 1 3 0 1 1 1 1 1 1 1 1 12 1 12 1 1 0 1 1 26 21 20 1 16 23 24 1 4 19 0 1 20 16 1 3 1 17 18 25 14 15 2 1 4 23 24 22 1 1 3 19 23 1 21 1 14 1 1 10 20 12 21 1 4 24 13 19 1 17 5 23 15 26 1 4 7 4 1 3 3 24 1 14 6 16 1 21 8 24 1 1 18 26 15 13 4 11 18 1 6 19 2 19 8 1 9 14 1 15 1 11 0 0 0 24 0 0 18 18 18 0 9 0 18 18 15 15 6 6 6 12 6 12 3 12 3 12 21 21 15 24 15 3 3 24 21 6 18 3 15 15 12 3 18 6 18 24 12 0 15 6 0 9 15 3 0 24 3 24 3 21 24 21 6 9 0 3 9 24 0 9 3 6 18 3 24 12 21 18 18 0 12 9 24 24 9 3 24 24 12 21 6 21 18 18 18 15 9 0 0 0 9 0 0 0 18 18 0 0 9 18 0 0 0 0 0 18 0 18 18 0 18 9 9 18 9 9 18 0 18 18 9 18 9 9 18 18 18 9 9 9 9 0 0 9 9 18 0 0 18 0 18 0 18 9 9 9 18 0 0 18 9 18 18 9 9 18 18 9 0 9 9 9 0 18 0 0 0 9 9 18 9 0 0 18 0 18 0 0 9 18 18 18 18 0 0 0 0 18 18 9 9 9 9 18 0 0 9 18 9 18 0 9 9 18 0 18 9 0 0 0 18 9 9 9 9 18 9 18 9 9 18 0 0 0 18 0 18 18 0 0 9 0 9 18 9 18 18 0 18 0 18 0 0 0 9 9 18 9 9 18 0 18 18 9 0 18 18 9 18 9 0 0 0 0 18 9 0 18 18 0 9 18 0 18 9 0 0 18 0 generates a code of length 96 over Z27 who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+126x^180+210x^181+324x^182+1152x^183+1410x^184+912x^185+3352x^186+3492x^187+1554x^188+4892x^189+5376x^190+2790x^191+6188x^192+5808x^193+2502x^194+5788x^195+4986x^196+1572x^197+2978x^198+1722x^199+348x^200+646x^201+186x^202+72x^203+186x^204+60x^205+60x^206+88x^207+54x^208+42x^209+94x^210+12x^211+24x^212+16x^213+12x^214+6x^216+6x^218+2x^237 The gray image is a code over GF(3) with n=864, k=10 and d=540. This code was found by Heurico 1.16 in 15.3 seconds.