The generator matrix 1 0 1 1 1 1 1 3 1 24 1 1 1 1 0 1 1 1 1 12 1 1 3 1 15 1 1 1 1 1 1 21 1 1 18 1 1 1 24 1 1 1 9 1 1 1 15 1 1 1 1 9 1 1 1 1 9 1 1 1 1 1 1 9 1 1 1 24 1 1 1 1 1 1 0 1 1 6 1 1 1 9 1 1 1 1 3 1 6 1 12 3 1 0 1 1 26 18 25 26 1 26 1 0 16 16 18 1 17 26 18 13 1 17 18 1 22 1 8 19 8 21 3 10 1 24 14 1 19 23 3 1 21 13 23 1 3 16 21 1 25 23 18 25 1 3 13 5 13 1 23 4 25 20 9 25 1 21 22 11 1 6 8 1 12 5 20 1 13 6 1 5 17 6 1 5 19 16 3 3 18 1 20 1 24 8 0 0 24 0 18 0 0 9 9 0 18 18 18 3 24 21 24 15 12 12 6 12 6 24 24 3 12 6 24 3 6 21 15 3 21 21 9 9 12 24 21 15 24 12 6 18 21 15 6 6 6 18 9 24 21 18 3 21 3 9 9 12 12 18 9 12 21 6 15 3 12 6 18 12 21 18 21 18 3 18 9 12 9 12 0 9 12 15 18 0 12 15 3 0 0 0 3 21 12 9 3 6 15 24 9 6 6 15 24 24 12 0 6 0 21 9 3 3 3 3 12 9 18 24 12 6 9 18 15 24 0 15 15 18 18 12 6 6 21 18 0 24 0 3 6 24 18 9 15 12 21 24 0 12 9 12 3 9 15 6 0 9 9 18 3 12 3 12 12 21 0 6 15 12 15 9 0 21 6 9 24 15 21 0 21 21 generates a code of length 93 over Z27 who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+174x^175+480x^176+942x^177+1326x^178+1638x^179+2698x^180+3060x^181+2724x^182+4458x^183+4482x^184+3984x^185+5862x^186+5556x^187+3792x^188+5408x^189+4134x^190+2196x^191+2568x^192+1182x^193+762x^194+560x^195+264x^196+240x^197+32x^198+90x^199+84x^200+44x^201+78x^202+78x^203+16x^204+36x^205+36x^206+6x^207+24x^208+12x^209+4x^210+6x^211+6x^212+6x^218 The gray image is a code over GF(3) with n=837, k=10 and d=525. This code was found by Heurico 1.16 in 14.4 seconds.