The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 X+2 1 X 1 1 2 1 1 1 X+2 1 1 1 X+2 1 0 X 1 2 1 1 1 X 0 1 1 1 2 1 X 1 X+2 X 1 1 1 1 1 1 1 1 X 0 1 2 X 2 1 0 1 X 1 1 2 X 1 2 1 X 0 1 1 0 X+3 1 X X+3 1 3 1 0 2 X+1 1 1 X+2 1 3 1 X X+1 1 X+2 X+2 3 1 X 2 X+1 1 X+3 1 1 X+1 1 X 2 2 1 1 2 X+1 X+1 1 X+1 1 3 1 1 X+3 X+2 0 X+1 1 X+2 0 2 X+2 1 0 1 X+2 1 1 1 0 1 0 3 1 X+2 0 1 X+2 X 0 0 X 0 X+2 0 0 2 2 0 2 X X+2 X+2 X X+2 X X 0 X 2 0 X+2 2 X X+2 2 0 X+2 X+2 0 X+2 X+2 X+2 2 X+2 X+2 X+2 0 X+2 2 X 0 X+2 0 X X 0 X 0 X+2 0 2 2 2 0 2 2 X X+2 X X+2 X X 2 0 X X X 0 X 2 X+2 X+2 X+2 0 0 0 0 X 0 0 X X+2 X+2 2 X X 0 X X X+2 X+2 2 X+2 X 0 0 2 2 0 X+2 2 X 2 X+2 X+2 0 X 0 X 0 0 X X X X X 0 0 0 2 2 0 X+2 2 X 2 X 2 2 X X+2 0 X+2 2 X X+2 0 X X+2 X X X+2 2 X+2 0 X X X+2 X+2 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 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+86x^67+111x^68+252x^69+448x^70+458x^71+526x^72+594x^73+647x^74+710x^75+756x^76+740x^77+597x^78+510x^79+520x^80+360x^81+285x^82+232x^83+100x^84+84x^85+50x^86+40x^87+27x^88+14x^89+16x^90+12x^91+5x^92+4x^93+4x^94+2x^96+1x^102 The gray image is a code over GF(2) with n=304, k=13 and d=134. This code was found by Heurico 1.16 in 5.49 seconds.