The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 X X 4X 0 3X X 6X 2X 6X 0 5X 6X 4X 5X 6X 0 0 0 X 0 0 5X 4X 5X X 4X 5X 5X X X X 3X X 6X 6X 2X X 0 0 0 X 0 5X 3X 3X 5X 5X X 6X 0 2X 6X 2X X 0 6X 4X 5X 0 0 0 0 X 5X 6X X 6X X X 0 2X X X 4X 6X 3X 2X 3X 5X generates a code of length 21 over Z7[X]/(X^2) who´s minimum homogenous weight is 98. Homogenous weight enumerator: w(x)=1x^0+258x^98+1170x^105+1656x^112+2688x^119+104940x^126+3870x^133+2508x^140+558x^147 The gray image is a linear code over GF(7) with n=147, k=6 and d=98. This code was found by Heurico 1.16 in 3.46 seconds.