The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 1 0 1 X+2 1 1 0 1 1 X+2 1 1 1 1 0 1 1 X+2 1 1 1 1 0 1 1 1 X+2 0 X+2 1 1 1 1 0 1 1 X 1 1 2 1 1 1 2 1 1 1 1 1 1 1 X X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 0 3 1 X+2 1 X+1 X+3 1 X+2 3 1 0 0 X+1 X+2 1 3 0 1 X+1 3 0 X+2 1 2 X+1 X+1 1 1 1 X+2 X X+2 X 1 3 X+1 1 3 2 1 X 3 0 1 X+1 X+2 3 X+2 0 X+3 X+1 X+2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 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+104x^60+8x^61+88x^62+44x^63+481x^64+284x^65+492x^66+712x^67+1009x^68+1200x^69+1260x^70+1816x^71+1477x^72+1912x^73+1120x^74+1232x^75+1023x^76+616x^77+536x^78+284x^79+350x^80+76x^81+84x^82+8x^83+100x^84+4x^86+41x^88+19x^92+2x^96+1x^100 The gray image is a code over GF(2) with n=288, k=14 and d=120. This code was found by Heurico 1.16 in 17.5 seconds.