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 X 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X X X 1 1 1 X 1 X 1 2 X 2 X 1 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 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+73x^56+16x^58+115x^60+128x^62+346x^64+736x^66+327x^68+128x^70+71x^72+16x^74+60x^76+21x^80+9x^84+1x^108 The gray image is a code over GF(2) with n=264, k=11 and d=112. This code was found by Heurico 1.16 in 0.573 seconds.