The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 X 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 5X+1 6 3 5X+4 X+3 4X+4 1 X+6 5X+1 2X+1 4X+1 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 0 6X 2X 3X 4X 4X 3X 6X X 4X 2X 0 X 6X 5X 6X 3X 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 4X 3X 3X 6X 3X 4X 5X X 5X 4X 3X 6X 3X 5X X 0 4X generates a code of length 30 over Z7[X]/(X^2) who´s minimum homogenous weight is 161. Homogenous weight enumerator: w(x)=1x^0+258x^161+84x^162+672x^163+798x^165+786x^168+1512x^169+5040x^170+2016x^172+3978x^175+9072x^176+20832x^177+5922x^179+10968x^182+18144x^183+31080x^184+5670x^186+336x^189+270x^196+168x^203+42x^210 The gray image is a linear code over GF(7) with n=210, k=6 and d=161. This code was found by Heurico 1.16 in 2.27 seconds.