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 1 1 1 1 1 X 0 2 2 0 X X 1 1 2 0 1 1 X X 0 1 1 X X 1 1 2 2 1 1 X 1 1 X 0 X X X 1 2 X 0 X 0 0 0 0 0 0 0 X+2 X X X X 2 X+2 0 X X 0 2 2 X+2 2 X X+2 0 X 2 0 2 0 0 X+2 X 0 X+2 X+2 X 2 X X X+2 X 2 X+2 X X X+2 X X X+2 X X+2 X X X+2 0 X+2 2 X X 0 2 2 X 0 X X+2 X 0 0 X 2 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X 2 X+2 X+2 X+2 0 X+2 X+2 X+2 X+2 2 2 X+2 X+2 2 0 2 2 X+2 0 2 2 2 0 X 0 2 X+2 X+2 X 0 X+2 2 0 X+2 X 2 X+2 X X X+2 0 2 X 2 0 0 X+2 X 0 X 2 X+2 X 2 X X+2 X 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 X 0 X X X+2 2 0 X+2 2 0 2 2 2 X 2 X 2 X+2 X 0 X+2 X+2 2 2 2 X+2 X X+2 X X+2 X 2 X X+2 X+2 X 2 0 2 2 X+2 2 2 2 X X X+2 2 X X+2 2 0 0 X X 0 X+2 0 X+2 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X+2 X 0 X 2 2 0 2 0 X X 0 X 2 2 0 X+2 2 X+2 X 2 X+2 X 2 0 0 2 X+2 0 X 2 0 X+2 X+2 2 X+2 2 0 2 X+2 X+2 X X 2 2 X X 2 2 X X X X+2 X+2 X+2 X+2 0 2 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 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+153x^64+4x^65+445x^66+72x^67+586x^68+176x^69+624x^70+312x^71+917x^72+440x^73+904x^74+456x^75+805x^76+368x^77+670x^78+168x^79+398x^80+36x^81+299x^82+16x^83+171x^84+114x^86+35x^88+16x^90+5x^92+1x^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 6.79 seconds.