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 X 2 X X 0 0 1 1 X 1 1 1 1 2 2 1 X 1 1 1 1 1 X 0 X 1 0 0 X 0 1 0 2 X 0 0 0 1 X X 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X 0 2 0 2 0 2 X X X 0 0 0 X X X+2 X+2 X 2 X X X X+2 X X X X+2 2 2 X+2 X X+2 0 X X 0 2 2 X 0 X X X X 2 X X 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 0 0 X+2 X+2 0 2 X X+2 X+2 X+2 X X 0 0 2 X+2 0 X+2 X+2 X X 2 X+2 2 X+2 X 2 X 0 2 2 0 2 0 X+2 X 0 2 X X X 0 2 X X X X 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 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+109x^66+270x^68+56x^69+469x^70+140x^71+569x^72+260x^73+792x^74+368x^75+934x^76+384x^77+906x^78+392x^79+776x^80+280x^81+515x^82+112x^83+358x^84+40x^85+217x^86+12x^87+138x^88+4x^89+50x^90+18x^92+8x^94+3x^96+6x^98+4x^100+1x^104 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 9.12 seconds.