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 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 X 1 X 1 1 1 X 1 1 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+25x^64+46x^66+49x^68+88x^70+622x^72+92x^74+46x^76+8x^78+20x^80+22x^82+1x^84+3x^88+1x^136 The gray image is a code over GF(2) with n=288, k=10 and d=128. This code was found by Heurico 1.16 in 0.294 seconds.