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 1 0 X 0 X 3X 3X 0 X 3X 2X 2X 2X 0 X 3X 2X 6X 6X 6X 6X 3X 6X X 0 2X 4X 4X 4X 4X X 4X 0 3X 0 0 X 5X 3X 2X 4X 2X X 5X X 4X 5X 4X 0 2X 0 X 2X 6X 5X 4X 6X 6X 3X 4X 0 3X 6X 3X X 3X 3X generates a code of length 33 over Z7[X]/(X^2) who´s minimum homogenous weight is 189. Homogenous weight enumerator: w(x)=1x^0+78x^189+150x^196+2058x^198+90x^203+6x^224+18x^231 The gray image is a linear code over GF(7) with n=231, k=4 and d=189. This code was found by Heurico 1.16 in 0.00649 seconds.