The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 X^3+X^2 1 1 1 1 1 1 1 X 1 X X^3 X 1 1 X^3 1 1 1 X^2 1 X^3+X^2 1 X 1 X 1 X 1 X^3 1 1 X^2 1 X 1 0 X 0 X X^3 0 X^2+X X^3+X^2+X 0 X^3 X^3+X X X^3 X^3+X^2+X X^3 X^3+X^2+X X^2 X^3+X X^3+X^2 X^3+X X^2 X^3+X^2+X X^2 X^2+X X^3+X^2+X X^3+X^2 X^2+X X^3+X^2 X^2 X^2 X^2+X X X^2 0 X^3+X^2+X X X^3 X^2 X X^3+X X^3 X^3 X^3+X^2+X X^2+X X^2+X X^2 X^3 X X^3+X^2+X X^3 X^3+X^2+X 0 X^2 X X^3+X^2 X^3+X^2 X X^3+X X X^2 X^3+X^2 X^2+X X X X^2 X^3 X^3+X^2 X^3+X X^2+X X^3+X^2 X^3+X^2+X 0 X^2+X X X^3 X^3+X^2+X X X X^3+X X^3 X^3 X^2 X^3+X^2 X X^3+X X^2+X X^3+X X^2 X^3+X^2+X X X X^3+X^2 X 0 0 0 X X 0 X^3+X^2+X X^2+X X^3 X^2 X^3+X^2+X X^3+X^2+X X^2 X^3+X X^2 X^3+X^2 X X^2 X^2+X X^3+X X^3+X^2 X^2+X X^2+X X^2 0 0 X^3 X^2+X X X^3+X^2+X X^2 X^3+X^2+X 0 X^3 X X^3+X^2 X^3+X X X^2 X^3+X^2+X X^3 X^3+X^2+X X^3+X^2 X^3+X X^3+X^2 X^3+X X^3 X^2+X X^2 X^3+X X^3 X^2 X^3 X X X^3 X^3+X^2+X X^2 X^3+X^2+X X^3+X^2 X X^3+X^2+X X^3 X^3 X^3+X X^3+X X^3+X^2 X^3+X X^3 X^3 X X^3 X X X^3+X^2 X^2 X^3+X^2 X^3+X^2 X X X X^2 X^2+X 0 X^3+X^2 X X^3+X^2 X^3+X X X^2+X X^3+X^2 X X^2 0 X^3 0 0 0 X^2 X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3+X^2 0 X^2 X^3+X^2 0 X^3 0 X^3 X^3+X^2 X^2 0 X^2 X^2 0 X^2 X^3 X^3+X^2 0 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 0 0 X^3 X^3 X^2 X^2 X^2 X^3 0 X^2 X^2 X^2 0 X^3 X^3+X^2 X^3 X^3 X^3+X^2 0 X^3 0 X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 0 0 X^3 X^3 X^3+X^2 X^3 X^2 0 X^3 X^3+X^2 X^3 X^3 X^3+X^2 0 X^2 X^3 X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2 0 0 X^3+X^2 0 X^2 0 generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+74x^88+218x^89+329x^90+284x^91+403x^92+598x^93+529x^94+492x^95+369x^96+266x^97+183x^98+92x^99+107x^100+62x^101+29x^102+24x^103+14x^104+8x^105+8x^106+4x^107+1x^110+1x^158 The gray image is a linear code over GF(2) with n=752, k=12 and d=352. This code was found by Heurico 1.16 in 1.42 seconds.