The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 X 1 1 1 0 1 2 1 X 1 0 2 1 X X 1 1 X X X 1 1 2 X X 2 1 0 1 1 1 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X 0 X+2 2 X 0 X 0 2 X 2 0 0 X+2 X+2 X X 2 X+2 X X X 2 X X+2 X X+2 X 2 X X X 0 X X+2 X X+2 X 2 2 2 X 2 X X+2 2 2 2 X+2 X+2 2 2 X X+2 2 X+2 0 X X 0 X 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 2 0 2 2 X X X 2 X+2 0 0 X X+2 X 0 X+2 2 2 X 2 X+2 2 0 0 X X 0 0 X+2 X+2 X+2 X+2 X X X 2 0 0 0 X X 0 X+2 2 0 X+2 0 X+2 2 2 X X 2 X+2 X X X X X+2 X 0 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 2 X+2 X+2 X X 2 X+2 0 X 2 0 X+2 2 2 X 2 X+2 X 0 X 0 X+2 2 2 X 0 X+2 X+2 2 2 2 2 X X X+2 X X+2 X 2 X+2 2 0 X X X X 2 0 0 0 2 0 X X+2 X 2 X+2 X+2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+68x^67+105x^68+162x^69+126x^70+262x^71+142x^72+488x^73+120x^74+608x^75+118x^76+594x^77+98x^78+418x^79+111x^80+230x^81+46x^82+134x^83+82x^84+40x^85+40x^86+40x^87+10x^88+18x^89+18x^90+6x^91+6x^92+4x^93+1x^116 The gray image is a code over GF(2) with n=304, k=12 and d=134. This code was found by Heurico 1.16 in 9.99 seconds.