The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 generates a code of length 14 over Z2[X]/(X^2) who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+55x^4+341x^8+627x^12+2048x^14+627x^16+341x^20+55x^24+1x^28 The gray image is a linear code over GF(2) with n=28, k=12 and d=4. This code was found by Heurico 1.16 in 0.0504 seconds.