The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 1 2 1 X 1 1 1 0 0 2 1 1 X+2 1 1 2 1 X+2 1 1 1 X 1 X 1 1 2 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 X+2 1 X 1 X+2 X 1 X+2 X 0 1 2 0 1 1 0 X+3 1 X X+1 1 1 1 0 X+2 X+1 1 3 X 1 X+1 1 X 1 1 X+2 0 1 3 1 X+3 0 1 1 1 1 X+2 X 1 X+1 2 1 X+3 1 X+3 0 X 1 1 1 2 0 1 1 X+3 0 X+3 1 X+2 2 3 1 2 1 X+3 3 1 2 1 1 2 1 X+2 1 2 X+2 1 X+2 X 2 1 0 0 X 0 X+2 0 0 0 2 2 2 X X X X+2 X X X 0 X+2 2 0 X+2 2 X+2 0 X 2 X+2 0 X+2 X 0 0 X+2 0 X+2 X+2 2 2 2 2 X X+2 X+2 X+2 X 2 0 0 X X+2 2 X+2 2 0 X+2 2 X 2 2 X 2 2 2 X+2 0 X 0 0 X 0 2 X+2 0 0 X+2 0 X 0 0 0 X 0 0 X 2 X+2 X X X 0 X+2 X+2 X X+2 2 X X+2 0 0 2 2 0 2 X+2 X+2 2 0 2 X+2 0 X X X X+2 X X+2 X 0 0 2 X 0 X X X X 2 2 X+2 X X+2 2 X X+2 X X X 2 X+2 X 0 2 2 0 X+2 0 X+2 2 2 X+2 X X X+2 0 X+2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 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+109x^70+100x^71+338x^72+324x^73+500x^74+496x^75+571x^76+764x^77+645x^78+744x^79+606x^80+740x^81+494x^82+496x^83+369x^84+340x^85+214x^86+84x^87+112x^88+8x^89+55x^90+30x^92+28x^94+18x^96+3x^98+2x^100+1x^104 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 5.83 seconds.