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 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 3 1 3 1 1 1 1 3 3 1 3 3 3 1 18 3 3 1 1 3 3 1 0 3 0 0 24 21 3 15 24 9 18 21 21 24 6 18 24 21 24 18 3 15 0 18 12 12 24 3 18 6 21 6 6 18 0 3 6 0 12 9 0 12 6 21 3 15 21 18 9 21 15 21 0 0 12 15 6 24 6 18 3 18 3 15 15 6 24 12 9 0 12 9 21 24 15 6 21 21 18 9 0 24 18 9 15 24 18 15 3 6 3 18 12 18 15 12 0 0 3 24 9 6 3 21 15 15 0 15 3 18 12 12 24 9 9 9 0 12 6 3 12 15 24 12 0 12 0 9 21 24 24 15 15 3 12 0 21 9 9 24 24 15 21 21 15 9 6 3 9 15 24 21 3 18 0 12 18 9 24 3 18 3 15 6 12 24 0 24 12 6 12 6 6 18 18 12 0 0 21 6 3 15 15 3 9 12 0 6 15 3 21 3 0 0 0 9 0 0 0 0 0 0 18 18 9 9 18 9 18 9 18 9 18 9 18 18 18 9 9 18 9 9 9 9 0 18 0 9 9 18 0 0 0 0 0 18 0 0 9 9 9 18 18 18 18 0 0 18 0 18 0 18 0 0 18 18 18 9 18 9 0 9 9 18 0 9 9 18 9 18 0 9 9 9 18 18 0 0 0 9 9 18 0 0 0 9 9 0 generates a code of length 96 over Z27 who´s minimum homogenous weight is 184. Homogenous weight enumerator: w(x)=1x^0+126x^184+240x^185+152x^186+510x^187+396x^188+286x^189+918x^190+528x^191+352x^192+1128x^193+462x^194+302x^195+480x^196+126x^197+76x^198+150x^199+90x^200+20x^201+30x^202+42x^203+22x^204+30x^205+24x^206+12x^208+12x^209+6x^211+12x^212+2x^213+6x^214+12x^215+6x^220+2x^249 The gray image is a code over GF(3) with n=864, k=8 and d=552. This code was found by Heurico 1.16 in 0.887 seconds.