The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 2 1 1 1 X 1 X 1 1 1 1 2 1 0 1 1 X+2 1 1 2 1 1 1 0 1 1 2 1 X 1 1 1 X+2 1 1 1 2 1 1 1 1 0 1 1 X+2 1 0 1 1 X+2 1 1 1 1 1 2 1 X 1 1 X+2 1 1 X 1 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 1 0 X+1 X+2 1 3 1 2 X+1 3 X 1 2 1 X+3 X+2 1 X+2 X+1 1 X+1 2 1 1 X+3 X+1 1 0 1 2 3 X 1 X+1 3 2 1 3 0 X+3 2 1 3 1 1 X+3 1 X+1 0 1 0 X+1 1 2 X+3 1 X+2 0 2 0 1 X 0 0 2 0 0 X 0 0 0 0 0 0 2 2 X+2 X X 2 X X+2 X X+2 X X 0 X+2 X+2 2 0 X X 0 2 2 X+2 2 0 2 2 X 0 0 2 0 X X+2 0 2 2 X X+2 X X+2 X+2 0 X X 0 X X+2 X+2 2 X X+2 X X X 0 0 2 X+2 X+2 X+2 X 0 2 0 X+2 2 0 0 0 0 X 0 0 X 2 X 2 X+2 2 X+2 2 X 0 X X+2 0 X X X+2 X+2 0 X 0 X+2 X X 2 0 2 X+2 X X X X 0 0 2 2 2 X X 0 X+2 2 0 0 0 0 X+2 X+2 X 2 X 0 2 X 0 2 2 0 0 0 X X+2 X 2 X 2 2 2 0 0 X+2 0 0 0 0 0 X 0 0 X+2 2 0 2 2 X+2 X X+2 X X 2 X X 0 X X X+2 0 2 X+2 0 X X 0 0 2 X 2 X X X+2 X+2 X+2 X+2 X X 0 X X X+2 2 2 X 2 X+2 X+2 2 0 0 X 0 0 X+2 2 X X 0 0 X+2 X+2 X+2 2 0 0 X+2 0 2 X+2 X X+2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+49x^66+116x^67+201x^68+298x^69+411x^70+696x^71+772x^72+952x^73+1256x^74+1308x^75+1430x^76+1560x^77+1476x^78+1250x^79+1252x^80+980x^81+670x^82+584x^83+413x^84+262x^85+121x^86+112x^87+68x^88+36x^89+39x^90+24x^91+20x^92+8x^93+8x^94+6x^95+3x^96+1x^98+1x^106 The gray image is a code over GF(2) with n=308, k=14 and d=132. This code was found by Heurico 1.16 in 18.6 seconds.