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 X 0 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 X 1 X 2 1 1 0 X 1 2 1 X X 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 X+2 2 0 X+2 X 2 X+2 0 2 X+2 X X+2 X X 0 2 0 2 0 X+2 X+2 X 0 X+2 X X X+2 X 0 2 X+2 0 0 X+2 X+2 X X X 2 0 2 X 0 2 0 0 0 X+2 2 2 0 0 X+2 X X+2 2 2 X X+2 X+2 X+2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+34x^66+34x^67+70x^68+78x^69+88x^70+114x^71+133x^72+174x^73+211x^74+226x^75+203x^76+202x^77+121x^78+98x^79+59x^80+42x^81+36x^82+36x^83+36x^84+16x^85+10x^86+4x^87+7x^88+7x^90+3x^92+4x^94+1x^126 The gray image is a code over GF(2) with n=300, k=11 and d=132. This code was found by Heurico 1.16 in 0.69 seconds.