The generator matrix 1 0 0 0 0 1 1 1 1 X^2 1 X^2+X 1 X^2 1 X^2 1 X X 1 1 X^2+X 1 1 X^2 1 X X^2+X 1 X^2 1 1 1 X^2+X 1 X^2 1 X X 1 X^2 1 1 1 1 X^2+X 0 1 1 1 X^2 X X^2+X X^2+X X 1 X 0 X^2 X^2 1 1 X^2+X 1 1 1 1 1 X^2 1 X^2+X 1 1 1 1 X^2+X 1 X^2+X 1 1 1 1 X^2+X 1 X^2 1 1 1 X^2 X^2+X X^2 1 0 1 1 0 1 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 1 1 1 X+1 X^2+X+1 1 X^2+X+1 1 1 1 1 1 X^2+X+1 1 X^2+X+1 X^2+X 1 X X^2+1 X^2+X X+1 0 1 X^2+X X X X X^2+X+1 1 1 1 1 X X+1 X^2 X 1 1 X^2 X+1 X 1 1 X^2+X X X^2 1 X^2+1 X^2 X^2+1 X^2 0 X^2+X 1 1 X 1 X^2+X 0 X^2+X X+1 1 X^2 0 X^2 X^2 X^2+X X^2+1 1 X^2 X X+1 1 1 X^2+X X^2+1 X^2 X^2+1 0 0 0 1 0 0 0 X^2+1 X+1 1 1 X 1 X^2+X+1 X X^2 1 X X^2+1 1 X+1 X+1 X^2+X X^2 X^2+X X^2+1 X+1 X^2+X X^2 0 X^2+1 X+1 X^2+1 X^2+X 0 X^2 X^2 X X X^2+X X 1 X^2+X X^2+1 1 1 X+1 0 0 0 X^2+X+1 1 1 X^2+1 X^2 X 0 1 X^2+X X^2+X+1 X^2+X 0 X X^2+1 1 X+1 X X^2+X+1 X X^2 X 0 X^2+X+1 X X^2+X+1 X+1 X X^2 0 X^2+1 0 X+1 X^2+X 1 1 X+1 0 X^2+1 X+1 X^2 X^2+X+1 X X+1 X^2+X 0 0 0 0 0 1 0 1 1 X X 1 X^2 0 X^2+1 1 1 X^2+X+1 X+1 X^2+X+1 X^2+X X^2+X+1 X X X^2 X^2+1 1 X^2+X+1 X^2+1 X+1 0 X X^2 X^2 X 1 X^2+X+1 1 X^2 X X+1 X+1 X^2+X 0 X^2+X+1 X^2+X+1 X^2 X^2+X+1 X^2 X+1 X 0 X^2+1 0 X^2 1 1 1 X 0 0 1 0 X+1 X^2+X+1 0 X^2+X X^2+X+1 X^2+X+1 1 1 0 X^2+X X^2 X 1 1 X^2+X X+1 X^2 X^2 X^2+X X^2+1 X^2+X X+1 X^2+X+1 X+1 X 1 0 X X+1 1 0 1 X^2+X+1 0 0 0 0 0 1 1 X^2 0 X+1 X^2+1 X^2+1 X^2+X+1 1 X^2+X+1 0 X^2+X X^2 X+1 X^2 1 X^2+X X^2+1 X+1 X^2+X+1 X^2+X X 0 1 X^2+X X^2+1 1 X^2+1 1 0 X+1 X^2+X+1 X 1 X^2+1 1 X^2+X+1 X^2 X^2+X+1 X^2+X X X^2+X 1 0 X+1 X+1 X^2+1 X^2 X^2 X^2+1 X X^2 X^2 X^2 X^2+X X^2+1 X^2+X 0 0 1 X X+1 X^2 X^2+X+1 X^2+X+1 X^2+1 1 X^2 X X^2+X X^2+X 1 1 X^2+X X^2+1 X^2 X^2+X+1 1 X X^2+1 X^2 X^2+X+1 X^2+1 X X^2+X X 1 1 1 X^2 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2+X X X X^2+X X^2+X X X X^2+X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X X X^2+X X^2+X X^2+X X X^2+X X X^2+X X X X X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2 0 X^2 X^2 X X^2 X X^2 0 X X^2 0 0 0 X 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+144x^82+552x^83+1022x^84+1560x^85+2340x^86+3220x^87+4100x^88+5268x^89+6414x^90+7328x^91+8523x^92+9678x^93+10104x^94+10258x^95+10055x^96+9554x^97+9138x^98+7938x^99+6426x^100+5310x^101+4028x^102+2746x^103+2022x^104+1354x^105+779x^106+526x^107+295x^108+148x^109+103x^110+62x^111+26x^112+24x^113+5x^114+6x^115+10x^116+1x^118+2x^119+2x^123 The gray image is a linear code over GF(2) with n=380, k=17 and d=164. This code was found by Heurico 1.13 in 315 seconds.