The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 X 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 1 X+5 1 5X+1 4X+2 X+5 5X+5 0 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 0 6X 2X 3X 4X 4X 4X 2X 6X 2X X 6X 0 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 4X 3X 3X 6X 3X 4X 5X 0 X 3X 0 2X 0 generates a code of length 26 over Z7[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+60x^133+336x^138+336x^139+414x^140+756x^141+882x^144+2520x^145+2520x^146+480x^147+2142x^148+10584x^151+6300x^152+10416x^153+342x^154+5796x^155+31752x^158+19656x^159+15540x^160+396x^161+5712x^162+384x^168+264x^175+60x^182 The gray image is a linear code over GF(7) with n=182, k=6 and d=133. This code was found by Heurico 1.16 in 1.89 seconds.