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 X 1 0 1 X 0 1 1 1 1 1 1 X 1 1 1 1 0 X 1 1 0 1 1 1 1 0 0 X 1 X 1 1 X X 1 1 X 0 1 1 0 1 X 0 X 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 X+2 X+2 0 0 X+2 X 2 0 2 2 X+2 X X+2 X X 0 X+2 X 0 0 0 X+2 X+2 X+2 X+2 X 0 0 X+2 X X+2 X X X 2 2 0 X+2 X X X+2 X+2 X+2 X+2 0 2 X+2 X+2 X X+2 X 2 X+2 X X X X X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+77x^66+4x^67+185x^68+20x^69+253x^70+64x^71+382x^72+160x^73+412x^74+264x^75+503x^76+264x^77+484x^78+160x^79+302x^80+64x^81+215x^82+20x^83+116x^84+4x^85+69x^86+28x^88+14x^90+11x^92+10x^94+6x^96+2x^98+1x^100+1x^112 The gray image is a code over GF(2) with n=304, k=12 and d=132. This code was found by Heurico 1.16 in 97.1 seconds.