The generator matrix 1 0 0 1 1 1 0 X^3 1 1 X^3 X^2 1 1 1 1 1 1 X^3+X^2+X X^2+X X 1 1 1 X^3+X X^2+X X^3+X^2+X 1 1 X^3+X^2 X^3 X^3+X 1 1 X^3+X^2+X X^3+X^2+X 1 1 1 1 X^3+X^2 1 X^3+X^2+X X^3+X^2 X^3 1 1 0 0 1 1 X^2 1 X^3+X 1 1 1 1 1 X^2 X^3+X 1 X^2+X 1 1 1 1 1 X^2 1 X X^3+X 0 1 0 1 1 X^2 X^3+X^2+X X^3+X^2 X^3 X^3+X^2+X X^2+X 1 1 X 1 0 X^3+X^2 1 X X 1 0 1 0 0 X^2+1 X^2+1 1 X^3+X^2+X X^3 X^3+X^2+1 1 1 X^3+X^2 1 X^2+X+1 X^2+X X^3+X^2+X+1 X^3+X^2+X 0 1 1 X^3+X+1 X+1 X X^2+X 1 1 X^2+X X^2+X 1 1 X X^3+X^2+1 X 1 1 X^3+1 X^2 X^3+1 X^2+X+1 1 X^3+X 1 0 1 X^3+X^2+X+1 X^3+X^2 X^3+X 0 X^3+X^2+X X^2+X+1 1 X X^3+X^2 X^3 X^3+X^2+X+1 1 X^2+1 X 1 1 X^2 1 X^3+X+1 0 X^2+1 X^3+X+1 X+1 1 X^3+X^2+1 1 X^3+X 1 X^3+X^2 1 1 0 X^3 X^3+X X 1 1 1 X^3+X^2+X X^3+X^2 X^3 X^3+X+1 X X^3+X^2 X^3+X 1 1 X^3+X 0 0 1 X+1 X^3+X+1 X^3 X^3+X^2+X+1 1 X^3+X^2+X X^2+1 1 X^3+X X^3+X^2+1 X X^3 X^2+X X^3+1 X+1 1 1 X^3+X^2 X X^3+X+1 X^3+X^2+1 1 X^3+X+1 X^2+X 0 X 0 X^2+1 1 X^3+X^2 X^3+X^2+1 X^2+X+1 X^3+X X^2+1 X^2 X^2+X+1 X^2+X X^3+X+1 X^3+X+1 X^3+X^2 1 X^2+X+1 X^3+X^2+1 X^3+X+1 1 1 X^2 X^3 0 1 1 X X^3+X^2+X+1 X^3+X^2+X X^2+X X^2+X+1 X^2+X X^2+X+1 X 0 X^3+X^2+X X^3+1 X^2 X^2+1 X^2+X+1 X^2 X^3+X^2+X+1 X^2+X 1 X^3 X^2+X+1 X^3+X^2+X X^3 1 1 1 1 X^3+X X^3+X X+1 X^2+1 X 1 X^2+1 1 1 X^3+X^2 X^3+1 X^3 X^2+X 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+192x^88+754x^89+992x^90+1170x^91+1185x^92+914x^93+763x^94+532x^95+387x^96+396x^97+266x^98+244x^99+156x^100+128x^101+73x^102+22x^103+14x^104+1x^106+1x^114+1x^116 The gray image is a linear code over GF(2) with n=744, k=13 and d=352. This code was found by Heurico 1.16 in 17.7 seconds.