The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 2 1 X+2 1 1 1 1 1 X 2 1 1 1 0 1 1 X+2 1 1 X 1 1 0 1 2 1 2 1 1 1 1 X+2 1 1 2 1 X+2 X+2 1 1 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 X 0 1 1 0 X+3 1 X X+1 1 1 X+2 3 2 1 1 1 1 X X+1 0 X 1 1 X+1 0 X+3 1 2 X+1 1 2 1 1 X+3 X 1 3 1 3 1 0 X+1 1 X+2 1 1 X+1 1 0 1 1 2 X+3 1 3 X+1 2 X+2 X+2 3 1 3 0 1 X X X+1 X+3 0 3 2 3 X+1 1 0 0 X 0 X+2 0 0 X X+2 X 2 X X X 0 2 2 X 0 X X X 2 0 0 X+2 X X 0 X+2 X+2 X+2 0 0 0 0 0 X+2 X+2 2 X X 2 X X X X+2 X+2 2 2 2 2 0 2 2 0 X+2 X 2 0 X+2 0 X+2 2 X+2 X X X X+2 0 X X X+2 X 0 0 0 X 0 0 X X X X 0 X 0 2 X+2 X+2 0 2 X+2 X X 2 X 0 X 0 X 2 2 X 2 0 2 2 X 2 0 0 X+2 2 X+2 X 2 X 2 2 2 2 0 2 X+2 X+2 0 X X+2 X+2 2 2 X 2 0 X 0 X X+2 X+2 X+2 X+2 0 2 X+2 0 X 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 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+197x^64+32x^65+451x^66+224x^67+779x^68+644x^69+1271x^70+948x^71+1645x^72+1236x^73+1772x^74+1188x^75+1544x^76+972x^77+1195x^78+668x^79+722x^80+188x^81+339x^82+44x^83+180x^84+69x^86+42x^88+22x^90+8x^92+1x^94+1x^100+1x^104 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 18.6 seconds.