The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 X 3X 3X 0 X 3X 2X 2X 2X 0 X 3X 2X 6X 6X 0 0 X 5X 3X 2X 4X 2X X 5X X 4X 5X 4X 0 2X 0 X generates a code of length 18 over Z7[X]/(X^2) who´s minimum homogenous weight is 98. Homogenous weight enumerator: w(x)=1x^0+60x^98+168x^105+2058x^108+54x^112+12x^119+48x^126 The gray image is a linear code over GF(7) with n=126, k=4 and d=98. This code was found by Heurico 1.16 in 0.00218 seconds.