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 1 3 1 1 3 0 1 1 3 3 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 3 1 0 1 3 1 3 1 1 0 1 1 0 3 24 0 21 24 0 21 24 9 21 6 0 21 24 12 18 6 21 0 24 0 6 6 21 18 9 12 6 3 18 24 0 21 9 21 24 3 9 15 6 3 0 12 3 15 21 24 21 24 9 24 3 24 9 21 24 6 12 24 6 6 15 0 15 15 12 3 21 3 3 3 21 21 3 12 21 0 21 24 6 3 24 15 0 0 9 0 0 0 0 18 9 0 9 18 18 9 0 18 9 18 9 9 0 0 18 9 18 18 18 9 0 0 0 9 9 18 9 9 0 18 9 0 18 18 0 9 0 0 18 0 18 18 0 9 18 0 9 0 0 0 9 18 9 0 18 18 18 0 9 0 0 18 18 18 18 9 0 0 9 18 9 0 18 9 9 9 0 0 0 9 0 0 0 0 0 18 0 0 9 18 18 18 18 18 18 9 0 18 0 9 0 0 18 9 9 0 18 18 0 18 18 18 18 9 18 9 9 9 0 0 9 18 9 18 9 0 18 9 9 18 9 9 0 0 0 18 18 9 18 18 0 18 9 18 18 18 9 0 9 18 18 9 18 9 9 18 0 9 18 0 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 9 18 9 18 0 9 0 9 0 0 9 18 0 9 0 9 0 9 9 0 9 9 9 9 0 18 9 9 18 0 0 18 18 0 0 9 9 18 0 18 9 9 9 9 9 18 18 0 0 9 9 0 18 9 18 0 0 0 0 0 18 0 9 9 9 18 9 18 18 0 0 0 0 0 9 9 0 18 9 0 9 9 9 9 9 0 0 9 9 18 9 0 0 9 9 18 0 0 9 18 9 0 18 18 0 9 9 18 0 18 0 18 18 9 0 9 18 9 9 0 0 0 18 18 9 18 0 9 18 0 18 9 9 18 18 18 18 0 9 0 0 18 0 18 9 0 0 9 0 9 18 18 9 generates a code of length 84 over Z27 who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+30x^154+96x^155+90x^156+162x^157+228x^158+120x^159+420x^160+438x^161+106x^162+852x^163+1656x^164+100x^165+1788x^166+3912x^167+64x^168+2076x^169+3870x^170+42x^171+1248x^172+1068x^173+52x^174+402x^175+210x^176+38x^177+204x^178+114x^179+26x^180+84x^181+42x^182+8x^183+24x^184+24x^185+28x^186+6x^188+8x^189+10x^192+18x^195+4x^198+6x^201+2x^204+2x^207+2x^210+2x^219 The gray image is a code over GF(3) with n=756, k=9 and d=462. This code was found by Heurico 1.16 in 97 seconds.