The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X 1 1 2 1 1 0 2 1 1 1 0 1 2 X 2 1 1 2 X 1 0 1 1 1 1 X X+2 1 1 0 2 1 1 2 1 1 1 X 1 0 X 0 0 X 1 1 1 X+2 2 X 1 X 0 X+2 1 X 2 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 1 X+2 1 0 X+3 1 1 0 X X+1 1 2 1 2 1 X+1 X+1 1 0 3 1 X+1 X+2 1 1 1 1 X+2 0 X+2 X 0 X+1 1 X+2 1 3 X X+2 1 1 0 1 1 X+1 X+3 2 0 0 1 2 0 2 1 0 2 X+2 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 2 X 0 X+3 X+3 1 2 1 3 X+2 X+1 X+3 2 X+2 1 1 2 X+3 X+1 1 0 X 3 X+3 2 3 X X+3 0 3 1 1 X X+3 2 X+3 X+2 2 1 3 X+2 X+3 1 2 X+2 X+3 X+1 1 1 1 1 X+1 1 1 X+1 2 1 1 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 0 0 0 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+63x^64+140x^65+294x^66+556x^67+666x^68+996x^69+958x^70+1354x^71+981x^72+1594x^73+1220x^74+1668x^75+1204x^76+1248x^77+810x^78+988x^79+568x^80+440x^81+253x^82+156x^83+80x^84+44x^85+36x^86+10x^87+19x^88+18x^89+8x^90+4x^91+2x^92+4x^94+1x^98 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 14.4 seconds.