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 3 3 1 1 0 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 0 1 3 1 1 1 1 1 3 1 3 1 1 1 3 0 3 3 3 1 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 0 24 9 3 15 0 24 3 9 6 21 15 3 24 21 12 18 21 15 6 9 24 18 3 21 24 3 9 3 12 12 21 9 6 18 21 21 18 12 6 3 0 6 3 24 21 3 9 18 24 12 3 21 21 24 3 15 6 0 21 12 24 0 0 21 24 3 24 21 21 0 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 18 18 9 18 18 9 0 18 0 18 18 18 18 18 18 18 18 0 0 0 0 18 18 9 18 0 9 18 18 0 9 0 0 9 0 18 18 0 0 18 18 18 9 9 0 18 0 18 0 9 18 0 18 18 18 0 9 0 9 9 18 18 18 18 9 9 18 9 0 0 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 0 18 9 0 18 9 18 9 18 9 9 9 9 0 18 18 0 0 0 0 0 18 0 18 0 0 9 18 0 18 18 18 0 9 18 9 9 9 0 0 18 0 0 9 18 18 9 18 9 0 18 0 18 9 0 18 18 0 9 9 0 0 9 0 18 0 9 0 9 0 9 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 18 9 9 0 9 0 18 9 18 0 0 18 18 0 18 9 9 0 0 18 18 18 18 9 9 9 18 18 9 18 18 9 0 9 0 0 18 0 0 18 0 0 9 9 0 18 18 0 18 9 0 18 9 9 0 0 18 18 9 18 9 9 18 9 18 0 9 18 18 0 18 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 18 9 9 9 0 9 0 0 9 9 9 0 9 9 18 9 0 0 18 9 0 18 0 18 18 9 9 9 18 9 0 9 18 0 9 18 18 18 9 18 9 18 18 9 9 18 0 18 18 9 9 0 0 0 0 0 0 0 9 9 0 18 0 18 0 9 0 0 18 9 18 generates a code of length 93 over Z27 who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+26x^171+48x^172+48x^173+106x^174+258x^175+228x^176+152x^177+420x^178+492x^179+610x^180+306x^181+1182x^182+2138x^183+384x^184+1998x^185+3272x^186+396x^187+1890x^188+2598x^189+342x^190+1008x^191+390x^192+378x^193+258x^194+38x^195+192x^196+150x^197+42x^198+108x^199+30x^200+32x^201+60x^202+20x^204+18x^205+6x^206+16x^207+6x^208+8x^210+6x^213+10x^216+6x^219+4x^231+2x^237 The gray image is a code over GF(3) with n=837, k=9 and d=513. This code was found by Heurico 1.16 in 3.86 seconds.