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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 0 1 1 0 2 1 1 X 1 1 X 0 X 0 X 0 0 X X+2 2 2 X X+2 0 2 X X 2 X 2 X+2 X+2 0 X 2 2 2 X+2 X+2 2 2 X X 0 2 X+2 2 0 X+2 X 2 X+2 0 0 X+2 X+2 0 X+2 2 X X X X 2 X+2 0 X+2 X+2 X+2 0 2 0 0 0 0 X 0 2 2 2 X+2 X+2 0 0 X X 0 X+2 X 2 0 X X 0 0 X X+2 0 2 X+2 X 0 X+2 0 2 X 0 X 2 X 2 X+2 X+2 2 0 X 0 2 X 2 X X+2 X X+2 2 0 X+2 2 0 2 0 0 X+2 X+2 2 X+2 0 2 0 X+2 X+2 X X 2 2 X X+2 0 0 X 2 0 0 0 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+56x^65+44x^66+40x^67+90x^68+98x^69+136x^70+130x^71+128x^72+104x^73+64x^74+36x^75+28x^76+26x^77+8x^78+18x^79+6x^80+4x^81+4x^82+2x^84+1x^128 The gray image is a code over GF(2) with n=284, k=10 and d=130. This code was found by Heurico 1.16 in 1.18 seconds.