The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 X+2 1 1 1 0 1 1 2 1 1 X+2 1 1 1 1 1 1 1 X+2 1 1 1 2 1 1 X 1 1 1 1 X+2 1 X+2 1 1 1 0 0 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 X+2 X+1 1 0 0 X+1 1 X+2 3 1 1 0 1 X X+3 X+2 2 3 0 X+1 1 0 X+2 X+1 1 X+3 X+3 1 2 X 3 X+2 1 X+2 1 X+2 X X+1 1 1 X+1 X+3 3 0 X+2 2 2 X+2 0 2 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 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+28x^66+52x^67+147x^68+92x^69+367x^70+136x^71+467x^72+144x^73+549x^74+160x^75+545x^76+152x^77+485x^78+152x^79+320x^80+112x^81+82x^82+12x^83+45x^84+12x^85+13x^86+2x^88+5x^90+7x^92+7x^94+1x^104+1x^112 The gray image is a code over GF(2) with n=300, k=12 and d=132. This code was found by Heurico 1.16 in 1.26 seconds.