The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 2 1 1 1 X+2 1 X 1 1 1 1 0 1 2 1 1 X 1 1 1 0 1 1 1 X+2 2 1 X X+2 1 1 1 1 2 0 1 X+2 1 1 1 1 1 1 1 X+2 2 0 2 1 0 1 1 1 1 1 1 1 2 2 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 1 0 X+1 3 1 2 1 X+2 X+1 3 X 1 0 1 X+1 X+3 1 X 1 0 1 X+2 3 X+1 1 1 0 1 1 X+3 2 X 3 1 1 0 1 1 1 X+2 3 X+1 3 2 1 1 1 1 X+3 1 1 2 X+3 2 0 X+3 X+2 X 1 0 0 X 0 0 0 0 0 0 2 2 X+2 X X 2 X X X X+2 X X 0 X+2 X 0 X+2 X+2 X X 0 0 2 X 2 0 2 2 2 X X 2 2 X+2 0 X+2 X 2 2 X+2 2 0 0 2 X+2 X X+2 X X X+2 X X 0 X+2 X X X+2 0 0 X+2 0 X 0 0 0 X 0 0 X 2 X 2 X+2 2 X+2 2 X X+2 0 X X 0 X X+2 X+2 0 X 0 0 X+2 0 2 X+2 2 X+2 0 0 X+2 X+2 X+2 X+2 X+2 2 X 2 X+2 0 X 2 X 0 2 0 2 X X X X+2 2 X+2 X+2 0 X+2 2 2 X X 2 X+2 2 X+2 X 0 0 0 0 0 X 0 0 X+2 2 0 2 2 X+2 X X+2 2 X X X X 0 X X X+2 X 0 X X+2 2 X 2 X 0 X+2 0 0 X+2 2 2 X X+2 X X X+2 2 2 2 X 2 0 X+2 0 2 2 X+2 2 X 0 2 X 0 X+2 0 X+2 X+2 0 0 X+2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+80x^61+170x^62+282x^63+428x^64+594x^65+792x^66+1036x^67+1286x^68+1432x^69+1438x^70+1486x^71+1554x^72+1340x^73+1162x^74+1014x^75+768x^76+532x^77+348x^78+224x^79+156x^80+106x^81+46x^82+46x^83+24x^84+12x^85+12x^86+8x^87+4x^88+2x^92+1x^96 The gray image is a code over GF(2) with n=284, k=14 and d=122. This code was found by Heurico 1.16 in 95.3 seconds.