The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 3 5X+2 6 5X+4 5 0 5X+1 3 5X+2 6 5X+4 5 1 5 5X+2 X+5 5X+1 5X+1 6 3X+5 6X+1 3 3X+5 3X+1 2X+5 1 0 5X+1 5X+4 X+1 X+5 X+6 X 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 0 6X 2X 3X 4X 4X 3X 0 2X 6X 3X X X 2X 2X 2X 3X X 3X 5X 4X 0 5X 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 4X 3X 3X 6X 3X 5X 5X 0 5X 5X 3X 0 2X X 2X 0 X 5X X 2X 2X 4X 2X generates a code of length 36 over Z7[X]/(X^2) who´s minimum homogenous weight is 196. Homogenous weight enumerator: w(x)=1x^0+594x^196+168x^198+336x^199+3600x^203+3024x^205+2520x^206+5508x^210+18144x^212+10416x^213+12444x^217+36288x^219+15540x^220+8508x^224+252x^231+192x^238+96x^245+18x^252 The gray image is a linear code over GF(7) with n=252, k=6 and d=196. This code was found by Heurico 1.16 in 2.8 seconds.