The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X+2 1 1 2 2 1 1 0 X+2 0 1 1 1 1 1 X+2 X+2 1 1 1 1 1 X+2 0 X 1 1 1 1 0 X 2 1 X+2 1 X 1 1 X+2 0 2 2 0 X 0 1 1 1 1 X+2 1 1 0 0 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X+2 1 1 X+2 1 1 0 0 1 1 X+1 X+1 1 1 1 3 3 2 X+3 X+1 1 1 2 X X 2 0 1 1 1 1 1 X+2 0 1 1 1 X+3 1 3 1 X X+2 1 1 0 1 X 1 0 1 X+2 X+1 3 1 X+1 2 X 2 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X+2 2 2 0 X+2 0 0 X X 0 0 0 0 2 2 0 X X X 2 2 X X+2 X X X 2 X X X X+2 2 2 0 0 2 X X+2 0 0 X X 0 X X X X 2 X X+2 0 X X+2 2 0 X+2 X+2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 0 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+133x^66+28x^67+303x^68+204x^69+604x^70+632x^71+733x^72+1068x^73+1070x^74+1388x^75+1327x^76+1576x^77+1251x^78+1424x^79+1119x^80+1032x^81+682x^82+564x^83+479x^84+204x^85+260x^86+56x^87+111x^88+12x^89+75x^90+4x^91+17x^92+11x^94+4x^96+7x^98+2x^100+2x^102+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 18.5 seconds.