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 X+2 1 X 1 2 1 1 1 1 1 X 1 1 X+2 X+2 1 1 1 0 1 1 1 X X+2 1 1 1 X 1 1 0 1 0 1 1 X+2 1 1 1 1 1 1 X+2 1 1 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 X X+3 1 3 X 1 0 X+3 X X+2 1 0 X+2 1 1 X+3 0 X+1 1 0 3 2 1 1 X+2 2 0 X+2 1 X+3 X 0 0 2 X 2 0 3 1 X+3 X+1 2 1 X+3 X+3 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 1 1 0 1 0 X+2 X+3 X+2 X+3 0 3 2 X+1 X+1 X 1 X+1 X+2 X+2 X+3 X+3 2 3 0 X+2 1 1 3 3 1 1 1 1 X+2 1 X+1 X+2 2 2 X+2 X+1 2 2 X+3 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 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 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 2 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 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 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 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 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 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 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 2 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+62x^66+140x^67+426x^68+380x^69+801x^70+632x^71+1327x^72+924x^73+1671x^74+1004x^75+1791x^76+1070x^77+1640x^78+928x^79+1224x^80+566x^81+801x^82+306x^83+313x^84+110x^85+121x^86+46x^87+31x^88+22x^89+17x^90+14x^91+5x^92+6x^94+2x^95+1x^96+1x^98+1x^100 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 14.8 seconds.