The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 1 1 0 X 1 1 1 0 1 0 1 1 2 1 1 1 2 1 1 1 X+2 1 1 1 X 1 1 0 1 1 1 1 X 0 1 1 1 1 1 1 0 X+2 1 X X+2 X 1 1 1 X+2 X 1 1 1 1 1 X 1 1 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 X 1 1 1 X X+1 3 1 0 1 3 2 1 2 X+1 0 1 X+2 X+2 3 1 X+1 X 3 1 2 X+3 1 X+3 X+3 1 2 1 1 X+1 1 X X+3 2 2 1 1 X+2 1 1 1 2 3 2 1 1 X 2 X+1 X+2 X 1 3 1 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X+2 X+2 X+2 X X X 0 X+2 0 X 2 2 0 X+2 2 X X X+2 0 0 2 X X+2 X+2 2 X+2 0 X+2 X X 2 0 X+2 X+2 X 2 X+2 X+2 2 X X 0 2 X 2 0 X+2 X X 0 0 X X X 2 2 X+2 X+2 X 0 0 0 X 0 0 X 2 0 0 0 0 0 X X 2 X+2 X 2 X+2 2 X X X+2 0 2 0 X+2 X+2 X X+2 0 0 2 X X+2 X 2 0 X 2 X+2 0 2 X+2 2 0 X X+2 X+2 X+2 X+2 2 X 2 X 2 0 X 0 2 X 2 X+2 0 0 X+2 0 X+2 0 X+2 2 X 0 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 X 2 2 0 X X 2 X+2 X X+2 0 X 2 2 X 0 X X+2 X X X X 0 2 X X+2 2 0 X+2 2 0 X X 0 2 X+2 0 2 X X 0 2 2 X+2 2 X 0 0 X X+2 0 0 2 0 X X X+2 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 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+152x^64+16x^65+494x^66+172x^67+996x^68+388x^69+1484x^70+588x^71+2027x^72+884x^73+2190x^74+884x^75+1975x^76+588x^77+1442x^78+388x^79+830x^80+172x^81+360x^82+16x^83+176x^84+98x^86+35x^88+12x^90+11x^92+3x^96+2x^100 The gray image is a code over GF(2) with n=296, k=14 and d=128. This code was found by Heurico 1.16 in 17.5 seconds.