The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 X 1 1 0 X 1 1 1 1 X 1 0 1 1 0 1 1 0 X+1 1 1 0 1 X+1 X+1 X+1 1 0 X 1 1 0 X 1 1 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X 0 0 X X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 X X 0 X 0 X X X 0 0 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 0 X X 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X 0 X 0 X X X X X 0 X X 0 0 0 0 0 X 0 0 X 0 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+42x^24+32x^25+28x^26+32x^27+44x^28+64x^29+36x^30+64x^31+35x^32+32x^33+44x^34+32x^35+4x^36+12x^38+2x^40+8x^42 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 0.0185 seconds.