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 1 1 1 1 2 X 0 0 2 2 0 X X 0 0 X 1 X 0 2 X 1 0 X X X X 0 0 1 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 X 2 X 2 X+2 2 0 2 0 X X+2 X 2 X+2 0 X X X 2 X+2 0 0 X+2 2 0 X X+2 X 0 2 0 X 0 0 2 2 X+2 X+2 X+2 2 0 X+2 2 2 2 X 0 X+2 2 X X+2 0 0 0 X 0 0 0 X X+2 X 0 0 0 X X X+2 2 X X+2 2 X X+2 2 2 2 X 0 X+2 0 2 0 2 X X X X X X X 2 X 0 2 2 0 0 0 0 X+2 X X X X+2 X 0 X X 2 X X 0 2 X 0 X X+2 0 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X+2 X+2 X+2 0 X X 2 0 X 0 2 X+2 2 X+2 2 X+2 X+2 0 X+2 0 X+2 X+2 2 0 2 2 X X X X+2 X+2 X+2 2 0 X+2 0 0 2 0 X+2 2 X X+2 0 2 X X X+2 0 0 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 X 2 0 X 2 X 0 X X+2 X+2 X 2 2 X 0 2 2 X X 0 2 X 0 X 2 2 2 2 2 X+2 X X+2 0 0 2 X+2 0 X+2 X X 2 X+2 X 0 X X X X+2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+94x^55+214x^56+246x^57+387x^58+504x^59+537x^60+778x^61+875x^62+1148x^63+1262x^64+1320x^65+1556x^66+1384x^67+1346x^68+1188x^69+843x^70+690x^71+536x^72+462x^73+279x^74+236x^75+161x^76+98x^77+90x^78+36x^79+35x^80+4x^81+18x^82+4x^83+4x^84+1x^86+1x^94 The gray image is a code over GF(2) with n=264, k=14 and d=108. This code was found by Heurico 1.16 in 21.1 seconds.