The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 2 X+2 1 1 1 1 1 1 1 X+2 0 2 1 1 1 1 X+2 X 1 2 1 1 X 2 0 1 1 1 X+2 1 2 1 1 1 0 1 1 0 X 1 1 1 1 X X+2 1 2 X 1 X 1 1 0 2 1 1 1 X 1 1 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X 3 X+3 X 1 1 X X+2 X+2 0 2 3 X+3 1 1 2 X+1 X+3 2 X 1 0 0 1 X+2 1 1 1 X X X+3 1 0 X+1 1 0 1 X 1 X+2 X+3 1 1 1 3 X+2 X X 1 2 X+2 1 X+2 X+2 X+2 X+2 1 X 1 0 0 1 X+3 X X+3 1 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 1 X+2 1 X+3 0 2 X+3 X 2 X+1 X+2 3 1 X+2 1 X+1 X X+1 X+3 X+3 1 1 X+2 2 X+3 2 3 1 1 X X+2 1 2 1 1 X+1 X+1 X+3 X+2 X+1 X+1 0 0 1 0 2 1 X+1 3 1 1 X+3 1 2 X+1 X+2 1 0 2 2 3 0 X+1 X+1 1 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X X+2 2 2 0 X+2 X+2 X+2 X+2 X+2 X+2 X+2 0 X+2 X+2 0 0 2 2 X X+2 2 2 0 0 2 X X X 2 0 0 0 X+2 2 2 2 0 0 X 2 X X+2 0 0 0 X+2 2 2 X+2 X X X X X+2 X 0 2 2 0 2 X+2 0 X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 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+195x^70+260x^71+617x^72+740x^73+905x^74+1112x^75+1182x^76+1316x^77+1310x^78+1400x^79+1341x^80+1416x^81+1115x^82+944x^83+661x^84+664x^85+454x^86+228x^87+224x^88+84x^89+94x^90+24x^91+57x^92+4x^93+21x^94+13x^96+2x^98 The gray image is a code over GF(2) with n=316, k=14 and d=140. This code was found by Heurico 1.16 in 16.2 seconds.