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 X X X 1 1 1 1 X X X 1 1 1 1 X X X 2 2 2 0 0 0 X 1 1 1 X X X X 1 2 2 2 0 0 0 X 2 1 X X X X 1 1 1 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+16x^73+8x^74+2x^76+4x^78+1x^80 The gray image is a code over GF(2) with n=288, k=5 and d=146. This code was found by Heurico 1.16 in 0.167 seconds.