The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X^2 X 0 X^2 X^2+X X^2 X^2+X 1 1 1 X X^2+X 1 1 X^2 X 1 1 1 1 X^2 1 1 1 1 0 1 X^2 X 1 1 1 X 1 1 0 X^2+X 0 0 1 1 1 1 X^2 X^2 0 1 X 0 1 0 X^2 1 X^2+X 1 X^2+X 0 X 1 X^2 1 1 1 1 1 X 1 1 1 1 X^2+X X X^2+X X^2 X^2 X 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 X^2+X+1 1 1 X^2+X 1 1 X^2+X 1 1 X 1 X+1 X^2+X X^2+X+1 0 X X^2 1 1 1 X X^2+1 0 0 X^2+X X^2 X^2+X+1 X^2+X X^2+X 1 X^2+1 1 1 X+1 X^2+1 X^2+X X^2 X+1 X+1 X^2 1 X^2+X 1 X^2 X^2+X+1 X^2+X+1 X^2+X X 1 1 X+1 1 X^2 0 1 X X^2 0 X^2+1 X^2+X 1 1 X^2+1 0 X^2+1 X X 1 1 X^2 0 0 X^2 X^2+X 1 X^2 X 1 1 X^2+X X^2+X+1 1 X^2 X X^2+1 X+1 X^2 0 0 0 1 0 0 1 0 1 X^2+1 X^2 1 X^2+X+1 X^2+1 1 X^2+X 1 1 X+1 X^2 X X+1 X^2+X 1 X X^2+1 X X^2+X X+1 X^2+X X^2+X+1 X^2+1 1 X X 0 X^2+X+1 X^2 X^2+X+1 X^2+X+1 X+1 X^2+1 X 0 X 1 X^2 1 X^2+1 1 X^2+X+1 X^2 X+1 1 0 1 X^2 0 X 1 1 X+1 X^2+X+1 X^2 X+1 0 X^2+X+1 1 X^2+1 X^2+X+1 X X^2 X^2+X 1 0 0 X^2+X 1 X+1 X^2+X X+1 1 0 1 X^2 X^2+1 X^2+X 1 X^2+1 X^2+1 0 X 1 X 1 X^2 0 0 0 1 1 X+1 X^2+X+1 X^2+1 X^2 X X^2+X X^2+1 X^2+X X+1 X^2+X+1 1 X^2+1 X^2 X^2+X X^2+1 0 1 X X^2 1 0 X^2+X+1 X^2 X^2+1 X^2+X+1 X X^2+X X 1 X^2+1 X+1 1 1 X+1 0 X^2 0 1 1 X 1 X^2+1 X+1 X^2 X X X+1 X^2 X+1 X^2+X+1 X^2+X X^2+X+1 X^2+X X^2+1 X+1 1 0 1 X^2 1 1 X^2+X+1 X+1 X^2+X+1 X+1 1 X^2+X+1 X^2+X+1 X^2+1 X^2 X^2 X^2+X X^2+X 1 X X 0 X^2+X 1 X^2+X 1 X^2+1 0 X^2+X 0 0 0 X^2 1 X^2 0 0 0 0 X X X X 0 0 0 X^2+X 0 X^2+X X^2+X X X^2+X 0 X^2 X^2+X X^2 X^2+X X^2 0 X 0 X^2+X X^2 X^2+X X^2+X X^2 X^2 0 X^2+X X^2+X X^2+X X^2 X^2 0 X X X^2+X 0 X^2 X^2+X 0 0 X^2 X X X^2+X X^2 X^2+X X^2 0 X X^2 0 0 0 X^2 X X^2+X X 0 X^2+X X^2+X X^2 0 X^2 X^2+X 0 0 X^2+X X^2+X X^2 X^2+X X 0 X^2 X^2+X X^2+X X 0 X^2+X X^2 X^2 0 X^2+X X^2+X X X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+62x^84+308x^85+682x^86+800x^87+1371x^88+1414x^89+1731x^90+1844x^91+2312x^92+2280x^93+2636x^94+2242x^95+2580x^96+2322x^97+2326x^98+1742x^99+1733x^100+1262x^101+1122x^102+656x^103+556x^104+300x^105+185x^106+130x^107+67x^108+42x^109+16x^110+10x^111+20x^112+6x^113+2x^114+2x^116+4x^118+2x^121 The gray image is a linear code over GF(2) with n=380, k=15 and d=168. This code was found by Heurico 1.16 in 68 seconds.