The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 3 5X+2 6 5X+4 5 0 5X+1 3 5X+2 6 0 X 5X+1 5X+1 5 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 4X 4X 6X 4X 5X 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 5X 4X 5X 0 X generates a code of length 18 over Z7[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+528x^91+1176x^96+3192x^98+4116x^102+14112x^103+10704x^105+24696x^109+42336x^110+16068x^112+588x^119+132x^126 The gray image is a linear code over GF(7) with n=126, k=6 and d=91. This code was found by Heurico 1.16 in 1.13 seconds.