The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X+2 1 2 1 1 1 1 X+2 X 1 1 1 1 2 1 1 X+2 1 0 0 X+2 1 2 1 X 2 1 1 1 1 2 2 1 1 1 1 1 1 X+2 1 0 1 1 1 X+2 1 1 X X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 X+2 1 1 1 X+1 2 X+2 1 1 X+2 1 X+1 2 1 X+3 1 1 0 1 X X+1 1 0 X+2 1 3 1 1 1 1 1 2 1 1 X+2 X+2 3 3 1 1 X+3 2 X 3 0 3 1 X+3 X 0 X+1 X+1 1 X+2 X+3 1 X 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X+2 X 0 X X+2 0 X X+2 2 X+2 X X X+2 2 X 0 X X X+2 2 2 X+2 X X X 2 X 0 X+2 0 2 0 X 0 2 0 X+2 0 X 2 X X X 2 2 0 X X+2 X+2 X+2 X X+2 2 0 X+2 2 X X 0 0 0 X 0 0 X X X X X+2 2 X X+2 X+2 X X X 0 2 0 2 2 0 0 0 X X+2 2 0 X 2 X X+2 X 0 0 2 X+2 0 X X+2 2 X+2 0 X X 0 X 2 0 X+2 2 2 X 2 X+2 X+2 X 0 2 2 X 0 X 0 2 X 0 X 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 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+183x^62+28x^63+454x^64+252x^65+801x^66+516x^67+1329x^68+1012x^69+1556x^70+1276x^71+1741x^72+1228x^73+1604x^74+1036x^75+1165x^76+540x^77+760x^78+216x^79+322x^80+40x^81+173x^82+87x^84+36x^86+17x^88+6x^90+3x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=288, k=14 and d=124. This code was found by Heurico 1.16 in 41.3 seconds.