The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 2 X 1 2 X 1 1 X 0 0 1 0 X 2 X 1 1 X 1 1 2 1 1 1 1 X 1 X X 2 2 0 1 0 1 X 0 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X 0 2 0 X+2 X 2 X X X X X 2 0 0 0 2 0 X X X X 2 2 0 2 X+2 X X+2 0 2 2 X X X+2 X+2 X X X X X 0 0 0 X 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 0 0 X+2 2 2 X+2 X+2 X+2 X+2 X+2 X+2 X 0 X+2 X X X 0 X+2 X+2 X 2 X X+2 2 X+2 2 0 X+2 X 0 X X+2 2 X+2 X X+2 0 X+2 0 X 2 X 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+341x^64+32x^65+120x^67+836x^68+336x^69+648x^71+924x^72+904x^73+920x^75+912x^76+648x^77+344x^79+696x^80+120x^81+16x^83+294x^84+8x^85+68x^88+20x^92+2x^96+2x^100 The gray image is a code over GF(2) with n=296, k=13 and d=128. This code was found by Heurico 1.16 in 90.1 seconds.