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 X X X^2 X 0 X^2 0 0 1 X^2 0 X 1 1 1 1 X X 0 X^2 1 X 1 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X 0 X X 0 X^2+X X^2+X X^2+X 0 0 X^2 X^2+X 0 X^2 0 X X^2+X X^2 X X 0 X^2 X X X^2+X 0 X X X^2+X X X^2+X X^2 X^2 0 X^2+X X 0 0 0 X 0 X X X^2+X 0 0 0 X X^2 X X^2+X X 0 X^2+X X^2+X X^2 0 0 0 0 X^2+X X^2+X 0 X^2+X X^2 X^2+X X 0 0 X^2 X^2 X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2 X^2+X X^2 X X X^2 X 0 0 0 0 X X 0 X^2+X X 0 X 0 X X^2+X X^2+X X^2 X^2 0 0 X^2 X X^2+X 0 X X X^2 X 0 X X 0 X^2+X 0 X 0 X^2 X^2+X X^2 X^2 0 X^2 X^2+X X^2+X X X X^2+X X X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+58x^38+64x^39+193x^40+236x^41+355x^42+530x^43+656x^44+894x^45+1207x^46+1448x^47+1656x^48+1768x^49+1624x^50+1532x^51+1198x^52+988x^53+676x^54+456x^55+314x^56+188x^57+143x^58+66x^59+64x^60+22x^61+27x^62+11x^64+6x^66+2x^68+1x^72 The gray image is a linear code over GF(2) with n=196, k=14 and d=76. This code was found by Heurico 1.16 in 13.5 seconds.