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 X 1 1 1 0 X 0 0 0 X X 4X 0 3X X 6X 2X 6X 0 5X 4X 2X X X 4X 3X 5X 3X 2X 0 3X X X 0 0 X X 3X 2X 0 0 0 X 0 0 5X 4X 5X X 4X 5X 5X X X X 3X 3X 4X X 0 6X 5X X 0 0 5X 4X 5X 6X 6X 4X 5X 5X 4X 0 0 0 0 0 X 0 5X 3X 3X 5X 5X X 6X 0 2X 6X 2X 3X X 3X 3X 2X 5X X 4X 2X 3X 6X 3X 6X 2X 2X 4X 6X 2X 3X 0 0 0 0 0 X 5X 6X X 6X X X 0 2X X X 4X 6X 4X 0 3X 5X 4X 4X 0 4X X 6X 6X X 2X 3X 0 5X 2X X 0 generates a code of length 36 over Z7[X]/(X^2) who´s minimum homogenous weight is 182. Homogenous weight enumerator: w(x)=1x^0+276x^182+942x^189+1596x^196+1788x^203+16722x^210+89226x^217+2970x^224+2412x^231+1254x^238+408x^245+54x^252 The gray image is a linear code over GF(7) with n=252, k=6 and d=182. This code was found by Heurico 1.16 in 7.2 seconds.