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 3 1 1 1 1 3 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 9 18 9 0 9 0 18 9 0 18 9 18 18 18 9 9 9 0 18 18 0 0 9 0 18 9 0 9 18 18 9 18 18 18 9 18 9 9 9 0 18 9 9 0 9 9 18 0 0 0 9 9 0 9 0 18 0 18 18 18 18 18 18 18 9 18 0 9 18 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 0 18 18 0 9 9 18 0 9 0 18 18 18 9 18 0 18 18 9 18 18 9 18 18 0 18 0 18 0 9 0 18 0 9 18 0 0 9 9 9 18 9 0 9 18 9 18 9 9 9 0 18 9 9 18 9 9 9 9 18 18 18 0 9 9 9 9 0 9 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 0 18 0 18 18 0 18 0 9 18 18 9 9 9 18 0 0 18 18 9 18 9 18 0 18 9 9 9 18 18 18 0 9 18 0 9 9 0 9 0 9 9 0 18 9 18 18 18 9 9 0 18 9 0 0 9 18 18 18 0 0 0 9 18 18 18 9 9 9 18 18 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 9 0 18 18 0 9 18 0 18 9 0 9 0 9 0 18 0 18 0 18 9 0 9 18 18 9 18 18 0 18 0 9 9 0 9 9 9 9 18 0 18 0 0 18 9 0 9 0 9 18 18 18 0 9 18 0 0 18 18 0 18 9 18 9 0 9 0 0 9 18 9 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 18 18 18 18 0 18 0 9 0 0 18 9 18 0 18 9 0 9 9 0 9 0 9 0 18 9 9 9 9 0 9 9 18 18 9 9 0 18 18 9 9 18 18 9 9 9 18 18 18 18 0 9 9 9 18 18 0 9 18 0 9 18 9 0 18 9 0 18 18 18 18 generates a code of length 89 over Z27 who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+56x^165+128x^168+96x^170+112x^171+132x^173+76x^174+402x^176+70x^177+4374x^178+444x^179+80x^180+300x^182+32x^183+84x^185+32x^186+24x^189+38x^192+22x^195+18x^198+4x^201+14x^204+8x^207+6x^210+4x^213+2x^219+2x^246 The gray image is a code over GF(3) with n=801, k=8 and d=495. This code was found by Heurico 1.16 in 0.835 seconds.