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 X X 1 X 1 1 2 1 2 0 1 0 1 X 1 1 2 1 1 1 1 1 X 0 1 1 0 1 X X 1 0 X 1 1 2 1 1 0 2 1 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 X+2 0 X X+2 0 X 2 X X 2 X+2 0 X+2 X 2 0 X 0 X 0 X 0 2 X 0 2 X+2 X X X 0 X 0 2 X X 2 2 2 X+2 X 0 2 X X 0 2 X X+2 2 2 0 2 2 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X X 2 0 X+2 X+2 X 2 0 X 2 X X+2 X 0 X+2 0 X+2 X+2 0 X+2 2 X+2 X X 0 X X X 2 X+2 2 X+2 2 2 X+2 X+2 X+2 X+2 X X 2 X X+2 2 X X 0 2 X X 0 X X X+2 X 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+28x^62+42x^63+107x^64+134x^65+175x^66+204x^67+239x^68+288x^69+334x^70+412x^71+365x^72+340x^73+313x^74+246x^75+211x^76+206x^77+121x^78+96x^79+59x^80+44x^81+35x^82+22x^83+29x^84+10x^85+12x^86+2x^87+11x^88+2x^89+4x^90+1x^92+1x^94+1x^96+1x^106 The gray image is a code over GF(2) with n=288, k=12 and d=124. This code was found by Heurico 1.16 in 1.62 seconds.