The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 0 1 1 3 5X+2 0 X X 6 5X+4 5 5X+4 4X 5X+1 5X+2 3 5 6 1 5X+1 X+5 X+3 4X+2 X+6 4X+4 2X+1 X+3 X+5 1 3X 0 0 5X 3X 6X X 2X 4X X 5X 3X 2X 3X 6X 4X 0 6X 4X 4X X 5X 5X 0 2X 0 3X 6X 2X 5X 0 generates a code of length 30 over Z7[X]/(X^2) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+30x^168+504x^169+756x^170+588x^172+150x^175+2520x^176+2016x^177+588x^179+96x^182+5208x^183+3402x^184+882x^186+42x^189+24x^210 The gray image is a linear code over GF(7) with n=210, k=5 and d=168. This code was found by Heurico 1.16 in 0.0502 seconds.