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 X 0 1 X 2 1 X X 1 1 1 0 X 2 1 1 X 0 1 X 1 1 1 1 2 1 0 1 1 1 1 X 1 2 0 2 1 2 1 X 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 X 2 X 0 X+2 X+2 X 0 X+2 2 X 0 0 2 2 X X 0 X 2 0 2 X X X+2 X X+2 X 0 0 0 2 0 X 0 X+2 X X X 2 0 2 2 X+2 2 X X X 2 X X X 0 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X X+2 0 0 2 X 0 X X 0 0 X+2 X+2 X 2 X X 0 X X X 0 2 2 2 X X X+2 X X 0 X 2 X 2 2 2 0 0 2 0 2 X X X+2 2 0 X 0 X X X 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+95x^60+146x^62+16x^63+334x^64+88x^65+330x^66+312x^67+504x^68+680x^69+418x^70+952x^71+547x^72+952x^73+424x^74+680x^75+426x^76+312x^77+294x^78+88x^79+264x^80+16x^81+154x^82+88x^84+22x^86+36x^88+4x^90+7x^92+1x^96+1x^104 The gray image is a code over GF(2) with n=288, k=13 and d=120. This code was found by Heurico 1.16 in 6.72 seconds.