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 X 0 1 1 1 1 1 1 1 1 X 1 1 1 1 0 X^2 X 1 0 1 X 0 1 1 X 1 X 0 X X 1 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X^2+X 0 X X^2+X 0 X^2 X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X X^2 X X^2+X X X X^2 X^2+X X^2+X X^2 X^2 X X^2 X^2+X X^2 0 X^2 X^2 X X^2 X^2+X X^2+X X 0 X^2+X X X X^2 X^2+X X X X X^2+X X^2+X 0 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 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 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 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 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+55x^52+8x^53+147x^54+48x^55+202x^56+72x^57+244x^58+112x^59+277x^60+152x^61+263x^62+80x^63+163x^64+24x^65+84x^66+16x^67+55x^68+21x^70+10x^72+8x^74+4x^76+1x^78+1x^92 The gray image is a linear code over GF(2) with n=240, k=11 and d=104. This code was found by Heurico 1.16 in 0.433 seconds.