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 3 1 1 1 1 1 1 3 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 0 1 1 1 3 1 1 1 3 1 1 3 1 0 3 24 0 21 24 9 21 24 6 0 21 3 18 24 6 0 21 3 0 6 9 24 21 12 15 0 21 9 6 9 3 6 18 21 6 3 18 3 6 6 6 0 0 3 15 24 21 0 15 21 18 18 3 24 12 12 24 24 3 6 18 18 18 3 3 21 12 18 9 0 9 9 24 21 24 9 12 9 12 9 9 15 3 3 6 0 21 0 9 9 21 6 9 21 0 0 0 9 0 0 0 0 0 18 18 9 18 9 18 0 18 18 9 0 9 18 0 0 0 9 0 18 0 18 18 18 18 9 9 9 9 0 9 0 9 18 0 18 9 18 0 0 18 0 0 18 18 18 9 9 18 18 9 18 18 9 18 9 9 18 0 18 0 18 0 0 18 9 0 18 9 0 9 18 0 9 18 9 0 18 18 0 9 0 18 9 18 9 0 18 0 0 0 0 9 0 0 18 0 0 0 18 18 9 0 0 0 9 18 9 9 0 9 18 0 9 18 18 9 9 18 0 0 9 9 0 18 18 0 9 18 18 9 18 18 9 9 0 9 9 0 18 18 0 9 0 0 9 18 18 9 0 0 9 9 9 0 9 18 18 9 9 0 9 18 18 0 18 0 0 18 18 18 18 0 18 18 18 9 18 9 18 9 18 9 9 0 0 0 0 0 18 0 0 9 9 18 18 18 9 9 0 9 18 18 18 0 0 18 18 9 0 9 9 9 18 9 18 9 9 18 9 9 0 0 9 18 18 9 18 0 9 18 9 0 9 9 9 0 0 18 0 9 18 0 18 18 0 9 18 0 0 0 0 0 0 9 9 0 9 0 9 18 18 18 18 0 0 9 9 9 0 9 0 18 9 9 9 18 0 0 18 0 0 0 0 0 0 9 0 0 18 18 9 0 0 18 18 0 18 18 18 9 0 0 9 9 9 18 0 9 0 0 9 0 9 18 18 18 0 18 0 18 18 18 0 0 18 9 9 9 18 18 18 9 9 18 18 9 0 9 9 9 9 9 0 0 0 9 18 18 18 0 9 0 9 9 0 0 9 0 0 9 9 18 9 0 18 9 9 0 18 0 18 0 9 18 18 0 generates a code of length 96 over Z27 who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+82x^177+6x^178+54x^179+178x^180+120x^181+150x^182+360x^183+192x^184+384x^185+484x^186+180x^187+1878x^188+552x^189+192x^190+5544x^191+614x^192+216x^193+5526x^194+440x^195+234x^196+720x^197+378x^198+156x^199+174x^200+234x^201+72x^202+84x^203+94x^204+66x^205+48x^206+74x^207+18x^208+18x^209+68x^210+6x^211+34x^213+22x^216+18x^219+8x^225+2x^228+2x^261 The gray image is a code over GF(3) with n=864, k=9 and d=531. This code was found by Heurico 1.16 in 4.04 seconds.