The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 2 X 2 2 1 1 1 1 X+2 1 X 1 X 1 1 X+2 1 1 1 1 2 2 1 X 2 1 2 1 1 0 1 0 1 1 X+2 1 1 X X+2 1 1 2 1 1 2 1 0 0 1 1 2 1 X 1 1 2 1 1 1 2 0 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 X+2 1 1 X+1 X+2 2 3 1 3 1 X+3 1 2 2 X 0 X+3 X+2 X+1 X 1 X 1 2 1 1 X 3 1 2 1 0 X+2 1 X+1 3 1 1 X+1 X X 3 2 1 2 1 1 0 X+2 X+2 3 1 2 0 1 0 X+2 0 0 2 X+1 0 0 1 1 X+3 X+2 1 X+1 X+2 1 1 0 1 1 X X+1 X+3 0 X+3 X 0 0 X+2 1 X+3 X+3 2 1 3 1 X+2 X+2 1 2 0 0 1 X+1 3 X+3 3 X+3 3 X X X+2 1 X X+1 X+1 2 2 X+3 1 X 0 3 3 X+3 X 1 X 1 1 1 X X+1 1 2 X+2 X+3 1 1 0 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+67x^66+280x^67+356x^68+584x^69+561x^70+772x^71+610x^72+774x^73+568x^74+770x^75+531x^76+550x^77+435x^78+516x^79+254x^80+234x^81+132x^82+80x^83+27x^84+26x^85+24x^86+8x^87+11x^88+8x^89+5x^90+6x^91+2x^92 The gray image is a code over GF(2) with n=296, k=13 and d=132. This code was found by Heurico 1.16 in 3.9 seconds.