The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X 1 1 2 1 1 2 2 1 1 0 1 1 X 1 1 1 1 X+2 1 1 X+2 0 1 1 1 2 2 X+2 1 1 1 1 1 0 1 0 1 1 0 1 1 0 X+2 1 X 0 1 1 0 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 1 X+2 1 0 X+1 1 1 2 X+1 X+2 X+2 3 1 3 2 X X+1 1 3 1 1 X+2 X+2 0 0 1 1 0 1 2 X+1 2 0 1 X+1 0 X+1 0 1 1 1 1 2 3 1 X+2 2 3 1 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 2 X 0 X+3 X+1 X+1 X 1 1 3 1 X X+3 0 0 X 1 2 2 X 3 X+1 1 X X+1 1 0 X+1 1 1 X+3 1 3 X 1 X+2 1 X+1 3 X+1 2 0 0 1 0 1 1 X+2 1 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 0 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+50x^56+82x^57+271x^58+472x^59+644x^60+918x^61+862x^62+1426x^63+1133x^64+1720x^65+1313x^66+1776x^67+1110x^68+1476x^69+893x^70+788x^71+546x^72+362x^73+205x^74+136x^75+84x^76+38x^77+28x^78+10x^79+14x^80+12x^81+11x^82+2x^84+1x^86 The gray image is a code over GF(2) with n=264, k=14 and d=112. This code was found by Heurico 1.16 in 13.2 seconds.