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 1 1 1 2 X X 2 X 1 X 0 1 1 2 0 1 X 2 1 X 1 1 1 2 1 X 2 1 X 1 X 1 1 X 1 1 1 1 X X 1 1 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X+2 0 X X 2 X 2 X+2 0 X X X X X X 2 X 0 2 0 X X 2 X+2 X X 0 0 2 2 X X+2 X 0 2 X+2 0 X X+2 X+2 0 0 0 X+2 X+2 X+2 X X+2 2 2 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X+2 0 X X+2 X X 0 2 2 X X+2 2 2 X 0 X+2 0 2 X 2 X X X 2 0 X X+2 2 2 2 X 2 X 0 0 X 2 0 0 X 2 0 X+2 X X 0 2 X+2 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 X+2 0 0 0 X+2 X+2 2 2 2 2 0 2 X+2 X 2 2 2 X 0 2 X+2 X+2 X+2 X 0 0 X+2 2 X X 0 2 0 2 0 2 X X 2 X+2 X+2 2 X 2 2 0 X X+2 2 X 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 2 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+51x^66+48x^67+155x^68+222x^69+234x^70+468x^71+222x^72+672x^73+193x^74+1046x^75+187x^76+1302x^77+214x^78+1046x^79+218x^80+662x^81+194x^82+386x^83+139x^84+168x^85+96x^86+62x^87+77x^88+34x^89+33x^90+16x^91+15x^92+12x^93+8x^94+9x^96+1x^104+1x^114 The gray image is a code over GF(2) with n=308, k=13 and d=132. This code was found by Heurico 1.16 in 7.24 seconds.