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 2 X 0 2 1 1 2 1 X 0 X X 1 1 0 2 1 1 X 1 1 0 1 0 1 1 1 X 0 1 0 1 0 X X X 0 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X+2 X 0 X 2 X 2 X+2 X X 0 X 2 X X 2 2 0 X X X+2 X 0 2 0 X X+2 X 2 X X X 2 2 X X 2 2 X X+2 0 X+2 X 2 X 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 0 X+2 X X+2 X X 0 X 0 X 2 2 2 X+2 0 X X X+2 2 X 0 0 X X+2 X+2 2 0 0 0 2 2 X X+2 0 0 0 0 X+2 2 X 2 0 X+2 X 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 X+2 0 0 0 X+2 X+2 2 2 0 X+2 0 X+2 0 2 0 X+2 0 2 2 X X+2 X X X X X 2 X X 0 0 0 2 0 X+2 X X X 2 0 2 0 X+2 X+2 X 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 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+53x^62+68x^63+158x^64+224x^65+284x^66+252x^67+366x^68+548x^69+515x^70+586x^71+688x^72+854x^73+718x^74+530x^75+555x^76+504x^77+314x^78+240x^79+179x^80+132x^81+121x^82+96x^83+80x^84+36x^85+36x^86+18x^87+14x^88+6x^89+4x^90+2x^91+7x^92+1x^94+1x^98+1x^102 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 6.8 seconds.