The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 X 1 X 1 1 1 X+2 X 1 X 1 1 X+2 1 2 2 1 0 1 1 1 2 1 1 X 1 X+2 X+2 1 2 0 X 1 X 0 2 1 X 1 X 1 1 0 1 2 2 1 1 1 X+2 X+2 X X+2 1 1 1 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 1 X+2 0 3 0 1 3 0 2 X+3 1 X X+2 1 2 1 2 3 X+1 1 X+3 2 1 X+2 1 1 X+1 1 1 0 X+1 1 X+2 1 3 1 X+2 1 1 X+1 2 X+2 1 X 2 X+2 X+1 1 1 1 1 1 X+2 X+2 2 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 1 0 2 0 X+3 X+2 1 X+1 X+3 1 X+2 X+3 X+2 X+1 1 X+2 1 X+3 0 X X X X+3 3 X+3 X 1 X+2 0 X+2 X+3 1 X+2 X+2 1 X+2 0 3 X+1 X+2 3 X+3 1 2 1 1 X+3 X 2 X+1 X+1 X+1 X+2 X X+3 3 0 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 2 X+2 2 0 X+2 X+2 0 X 2 X 0 0 X 0 X+2 X+2 0 X+2 X+2 2 X+2 0 2 0 2 X X+2 X 0 X+2 X+2 X+2 2 0 2 0 X X+2 X X 0 2 X+2 X X+2 0 X X X+2 X+2 2 X+2 X+2 X+2 2 2 X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+51x^66+160x^67+328x^68+608x^69+621x^70+952x^71+916x^72+1300x^73+1101x^74+1644x^75+1275x^76+1646x^77+1094x^78+1326x^79+769x^80+814x^81+591x^82+462x^83+246x^84+202x^85+91x^86+50x^87+42x^88+38x^89+33x^90+14x^91+7x^92+2x^94 The gray image is a code over GF(2) with n=304, k=14 and d=132. This code was found by Heurico 1.16 in 14.9 seconds.