The generator matrix 1 0 0 0 1 1 1 1 2 1 1 1 X+2 2X 0 1 X 1 1 1 X 2X 2 2X 1 3X 1 1 1 2X+2 2X+2 1 1 1 1 X 2 1 3X 2X 1 2 1 1 1 X+2 1 1 2 3X+2 1 1 X 1 1 1 3X+2 X 1 0 1 0 1 1 0 3X+2 0 1 1 1 1 X+2 1 1 0 1 0 0 X 3 2X+1 2X+2 1 3X+3 X+2 3X+1 1 1 3X 2X+1 3X+2 3X+3 2X+3 2X+2 1 X X 1 X+2 1 2X+2 3X+2 3X+3 1 2X 1 1 3X+2 0 0 1 0 2 1 2X 1 2X+2 1 X+1 1 0 X 1 1 2X+2 3X+1 1 2X+3 X X+1 1 3X+2 X+3 1 X+3 2X 2X+1 2 2X 3X+2 1 2 3 2X+2 1 X+2 2X+2 2X 0 0 1 0 0 2 1 3 3 2X 2X+1 1 0 X+1 1 1 1 3X+2 X+3 3X+1 2X+2 1 X+2 3X+3 3X+1 X+3 X 0 X+2 3X+2 1 X 3X+3 X+1 2X+2 2X+2 1 X+3 1 X+3 X+2 X 2X+1 X 3X+2 2X+3 2 2 3X+1 2 3X+1 3X+1 3X+2 3X+3 X+3 2X+1 2 1 0 X+1 3X 2 X+1 3X 1 1 2X+1 X+3 2X 3X 1 2X+2 2X 0 0 0 0 1 1 X+3 2 X+1 X+3 X 3X 2X+1 X+3 0 3X+3 X+2 3X+2 2X+1 3 X+3 3 1 1 3X+2 2X 1 3X+3 3X+2 2 2X+2 X 3X+1 2X+2 3 3X+2 1 0 2X+2 X+1 3 2X+3 2X+1 3X X+2 3X+2 3 2X X+1 0 2X+2 2X+3 3 X+3 2X+1 X+2 1 3 3X+2 0 3X+2 2 1 3X X+1 3X+1 2X+1 X+2 X+1 2 2X 0 1 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2X+2 2X 2X 2X+2 2X 2X+2 0 0 2X+2 2 2X 2X+2 2X 2X+2 0 2 2 0 2X+2 2 2X 2 2X+2 2 2X 0 2X 0 2X+2 2 2X 2X+2 2 2 2X 0 0 2X 0 2X+2 0 2X 2 2X+2 2X+2 2X 2X 2X+2 0 2X+2 2X 2 2X+2 0 2 2 2 2X 2X+2 0 generates a code of length 74 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+212x^65+952x^66+2566x^67+5381x^68+9922x^69+14618x^70+20656x^71+26478x^72+31770x^73+35180x^74+33580x^75+27750x^76+21098x^77+14255x^78+8792x^79+4658x^80+2388x^81+1038x^82+510x^83+201x^84+64x^85+33x^86+16x^87+9x^88+2x^89+4x^90+8x^91+2x^92 The gray image is a code over GF(2) with n=592, k=18 and d=260. This code was found by Heurico 1.16 in 673 seconds.