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 0 3 24 0 21 24 9 6 21 12 24 0 9 21 24 9 21 0 21 18 15 9 9 21 3 24 15 0 15 3 9 3 0 3 18 12 0 21 3 24 15 15 21 15 15 18 3 6 24 15 18 21 0 15 0 18 24 0 3 21 24 12 6 9 12 24 0 0 9 0 0 0 0 18 18 9 9 0 0 9 9 0 9 9 0 18 9 18 9 9 0 0 18 9 18 0 18 18 18 18 9 18 0 0 9 0 9 0 0 18 18 0 9 18 9 9 18 0 9 18 18 18 0 9 18 9 0 18 0 9 9 18 0 0 0 9 0 9 18 18 9 18 0 0 9 0 9 0 18 18 9 9 0 9 18 18 0 9 18 18 18 9 9 9 18 9 0 18 9 9 9 18 18 18 18 0 0 18 0 9 9 18 18 18 9 9 0 0 18 9 18 9 0 0 9 0 0 9 0 0 0 0 18 18 0 9 9 0 9 9 18 9 9 18 9 18 0 9 18 0 0 18 9 9 18 9 0 9 18 0 18 18 9 18 9 18 9 9 0 18 0 0 9 18 0 18 0 18 0 18 18 9 18 9 0 0 0 18 0 0 0 18 18 0 generates a code of length 66 over Z27 who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+270x^124+54x^126+282x^127+48x^129+234x^130+4920x^132+234x^133+32x^135+96x^136+24x^138+132x^139+12x^141+108x^142+10x^144+72x^145+30x^148+2x^198 The gray image is a code over GF(3) with n=594, k=8 and d=372. This code was found by Heurico 1.16 in 25 seconds.