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 1 1 1 1 1 1 1 1 1 0 X 0 0 X X 4X 2X 3X 0 X 3X 3X 3X 5X 2X 4X 2X 0 0 3X 2X 5X 6X X 4X 3X 0 X 0 2X X 4X 6X 4X X 4X 3X 3X X 2X 0 0 0 X 0 5X 4X 3X 5X 6X 3X 3X 3X 5X 5X 4X 0 6X 6X 6X 6X 5X 2X X 2X X 3X 0 3X X 2X 0 5X 6X 5X X 0 5X 4X 6X 0 5X 0 0 0 0 X 5X X 2X 6X 6X 4X X 0 2X 6X 6X 5X X 5X 5X 6X 5X 6X 0 6X 2X 0 X 2X 4X 5X 0 6X 2X X 0 3X 5X X X 5X 4X 0 generates a code of length 42 over Z7[X]/(X^2) who´s minimum homogenous weight is 231. Homogenous weight enumerator: w(x)=1x^0+240x^231+498x^238+420x^245+14808x^252+234x^259+168x^266+246x^273+102x^280+84x^287+6x^294 The gray image is a linear code over GF(7) with n=294, k=5 and d=231. This code was found by Heurico 1.16 in 0.191 seconds.