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 0 X X X X 2 1 0 X 0 X 0 1 X X 2 1 X 0 1 2 1 1 X 1 1 0 1 X 1 X 1 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 X 2 X 2 X+2 0 2 2 0 X X+2 X 2 X+2 2 X 0 2 X X+2 X 0 2 X+2 0 0 X X+2 X+2 X+2 0 X+2 X 0 0 2 0 2 0 X 2 X+2 0 2 X X X X X X+2 X+2 X 2 0 X 2 X+2 0 0 0 X 0 0 0 X X+2 X 0 0 0 X X X+2 2 X X+2 2 X+2 X 2 2 2 X 0 X+2 0 0 0 X+2 X X X 2 X X+2 X 0 X X X 2 X 0 X+2 2 X X 0 X X+2 X+2 0 0 X 2 X X 0 0 2 0 X+2 X+2 2 2 0 X 2 0 X 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X+2 X+2 X+2 X 0 X 2 0 X 0 2 X+2 0 2 2 X+2 2 0 X X X+2 X 0 X+2 2 0 X X+2 X 0 2 0 X+2 X X 0 X 0 0 X X+2 2 X 2 0 X X+2 0 X+2 X 0 0 X+2 X X X 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 X 2 0 X 2 0 X X X+2 X+2 X 2 2 X 2 X+2 2 X+2 0 X+2 X X+2 0 0 X X+2 2 X+2 X+2 2 X+2 X 2 X 0 X 2 X 2 X X X+2 2 2 X+2 2 X+2 X 2 0 2 X 2 X+2 0 X 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 2 0 0 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+59x^60+124x^61+203x^62+246x^63+341x^64+486x^65+646x^66+658x^67+920x^68+1192x^69+1206x^70+1448x^71+1456x^72+1356x^73+1299x^74+1204x^75+901x^76+672x^77+541x^78+414x^79+312x^80+218x^81+162x^82+106x^83+88x^84+44x^85+31x^86+20x^87+18x^88+4x^89+5x^90+2x^94+1x^102 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 23.8 seconds.