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 X 1 X X 1 1 X 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 X X X X X X 0 X X 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 X X X X X 0 X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X X 0 X 0 generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+71x^24+32x^26+64x^28+192x^30+49x^32+32x^34+61x^36+7x^40+2x^44+1x^52 The gray image is a linear code over GF(2) with n=60, k=9 and d=24. This code was found by Heurico 1.16 in 0.166 seconds.