The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X 1 X 1 1 1 0 1 1 1 X+2 1 1 0 1 1 2 1 1 1 1 X X 1 X 1 1 1 1 1 1 X 1 0 1 1 1 0 1 2 0 1 X+2 1 0 1 1 X+2 1 1 1 X+2 X+2 1 2 1 1 X 1 1 X+2 X 1 2 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 3 1 1 X+2 1 X+1 3 X+1 1 2 X X 1 X+3 X+2 1 1 0 1 X+2 1 3 2 1 1 X+3 1 2 2 X X X 3 1 X 1 3 X+1 X+3 1 0 1 1 3 1 X 1 X+1 1 1 2 0 X+3 1 1 3 1 3 X 1 1 1 1 2 X+3 1 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X 0 2 2 X+2 X+2 X+2 X X 0 2 X X 2 X 0 X+2 2 X+2 0 X 0 X+2 X+2 X X+2 0 X+2 2 2 0 X+2 X+2 0 0 0 2 X 2 X+2 0 X X 0 X+2 2 X+2 X+2 X X+2 X 2 2 X 0 0 2 0 X 2 2 X+2 X X 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 2 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+151x^70+84x^71+281x^72+288x^73+460x^74+572x^75+632x^76+724x^77+621x^78+756x^79+577x^80+708x^81+555x^82+596x^83+403x^84+316x^85+189x^86+40x^87+98x^88+12x^89+52x^90+33x^92+13x^94+18x^96+5x^98+3x^100+2x^102+1x^104+1x^108 The gray image is a code over GF(2) with n=316, k=13 and d=140. This code was found by Heurico 1.16 in 5.48 seconds.