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 1 1 1 9 1 3 1 6 9 1 1 1 21 1 1 1 1 1 1 1 3 3 1 1 1 1 1 24 15 1 1 1 3 1 15 1 1 1 1 1 3 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 22 18 10 23 1 3 1 18 1 1 17 26 6 1 17 23 3 20 18 20 14 1 1 1 15 9 2 9 1 1 9 22 0 3 24 1 1 1 13 20 14 9 21 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 21 21 9 3 9 9 12 18 18 12 21 0 6 0 15 6 9 21 12 15 24 3 18 18 3 6 3 0 15 15 21 0 0 3 18 18 24 24 6 3 6 12 24 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 9 0 0 0 0 18 9 18 18 18 9 0 9 18 18 18 9 0 0 9 0 0 18 9 18 0 9 9 9 9 9 0 9 18 18 9 18 9 0 0 9 18 0 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 0 18 18 0 9 9 9 0 9 9 18 9 18 18 18 0 18 9 0 18 0 0 9 18 9 18 0 0 0 18 9 0 9 0 0 9 9 9 18 18 0 18 9 generates a code of length 93 over Z27 who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+68x^174+240x^175+444x^176+798x^177+1512x^178+1836x^179+1998x^180+3264x^181+3588x^182+3492x^183+4578x^184+4980x^185+3970x^186+5952x^187+5418x^188+3846x^189+4278x^190+2982x^191+1928x^192+1470x^193+846x^194+410x^195+354x^196+198x^197+116x^198+132x^199+66x^200+56x^201+48x^202+42x^203+58x^204+30x^205+22x^207+12x^208+6x^209+6x^212+2x^213+2x^216 The gray image is a code over GF(3) with n=837, k=10 and d=522. This code was found by Heurico 1.16 in 14.6 seconds.