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 X 0 0 0 2 X 2 X 1 2 1 1 0 X 1 X 1 X 1 0 X 1 X 1 0 1 1 2 X 1 1 2 2 0 1 X 1 1 X 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X 0 2 0 0 X X+2 X X X X X X X 2 X X X+2 2 2 X X+2 2 X+2 0 0 0 X X 2 X X+2 0 2 X+2 2 0 2 2 X X+2 X+2 2 X X 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 0 0 2 X X+2 0 0 0 2 X+2 X+2 X+2 X+2 X X+2 2 2 X X+2 2 2 2 0 2 X X+2 2 X+2 0 0 X+2 X X 2 X+2 X X X X+2 2 2 X X X 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+51x^62+76x^63+165x^64+184x^65+275x^66+312x^67+376x^68+502x^69+554x^70+656x^71+663x^72+698x^73+660x^74+660x^75+561x^76+456x^77+345x^78+272x^79+202x^80+152x^81+113x^82+68x^83+54x^84+50x^85+36x^86+4x^87+23x^88+6x^89+6x^90+1x^92+6x^94+2x^96+2x^98 The gray image is a code over GF(2) with n=292, k=13 and d=124. This code was found by Heurico 1.16 in 6.82 seconds.