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 0 0 0 2 2 X 2 X 2 0 X X X 1 2 X 0 X 0 1 2 1 X 2 1 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 X 2 X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 2 0 X+2 X+2 2 X X+2 X 0 2 X 0 X 2 X+2 X 0 X X 2 0 X X+2 X X X 2 0 X+2 0 2 0 X 0 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X 0 X X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 2 X 0 2 X X+2 X+2 X X 0 2 X 2 2 X+2 0 2 2 X+2 2 X+2 0 X 0 X+2 X+2 X+2 X 0 2 X+2 X+2 X+2 2 2 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 X+2 2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 X X 2 X+2 0 2 X 0 0 X 2 X 2 X+2 2 0 2 X+2 0 2 2 X 0 X 2 0 X+2 0 X X X 2 0 2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 2 X+2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 0 0 2 X 2 0 X+2 2 2 X 2 0 X+2 X X+2 X 2 X 0 X X+2 X X+2 X+2 0 X+2 X+2 X 2 X X+2 0 X+2 X+2 2 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X+2 X 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 2 0 0 X+2 X+2 X+2 X+2 X X 2 X 2 X X X 0 X 2 2 X+2 0 X+2 2 X X+2 2 0 0 2 2 X 2 X 0 X 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 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+37x^60+122x^61+214x^62+290x^63+339x^64+500x^65+601x^66+736x^67+892x^68+1064x^69+1231x^70+1390x^71+1558x^72+1454x^73+1338x^74+1030x^75+853x^76+796x^77+530x^78+372x^79+320x^80+226x^81+149x^82+130x^83+82x^84+58x^85+32x^86+20x^87+14x^88+4x^89+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 22.9 seconds.