The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 1 1 X 1 2 1 1 0 1 1 X+2 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 X 1 1 1 1 0 1 1 1 1 0 1 1 1 1 X+2 1 1 1 0 2 2 0 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 X+1 0 1 X+2 1 3 3 0 1 X+2 1 X+1 X+1 3 3 2 1 X 1 X+1 0 1 3 X+2 1 X+3 X+2 X+3 X 1 2 X+1 0 1 0 1 X+1 X+2 X+3 1 3 2 1 X+1 X+3 0 X X+3 1 3 1 1 X X+2 X X+2 1 0 X+1 3 1 1 1 1 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+43x^70+90x^71+158x^72+166x^73+204x^74+182x^75+124x^76+170x^77+120x^78+174x^79+187x^80+154x^81+129x^82+58x^83+33x^84+22x^85+10x^86+8x^87+4x^88+2x^90+2x^92+1x^94+2x^96+1x^98+1x^100+1x^102+1x^110 The gray image is a code over GF(2) with n=308, k=11 and d=140. This code was found by Heurico 1.16 in 0.497 seconds.