The generator matrix 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 X+1 X 0 0 0 1 0 1 1 0 X+1 X 0 0 0 1 1 X 0 1 0 0 0 0 0 X 0 X 0 X generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 5. Homogenous weight enumerator: w(x)=1x^0+22x^5+46x^6+58x^7+78x^8+92x^9+92x^10+68x^11+32x^12+14x^13+6x^14+2x^15+1x^16 The gray image is a linear code over GF(2) with n=18, k=9 and d=5. This code was found by Heurico 1.16 in 0.00108 seconds.