The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 X X 1 1 0 1 1 1 0 X 0 1 X 1 0 1 0 1 1 1 X X 1 1 X 0 X 0 1 X 1 X 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X X+2 X 0 X+2 X+2 X+2 2 X+2 X X+2 0 2 X X+2 X 2 X+2 0 X X+2 X X 2 0 X+2 X+2 X+2 X+2 X+2 X 2 X X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+2x^41+60x^42+32x^43+132x^44+106x^45+135x^46+294x^47+200x^48+702x^49+266x^50+1200x^51+244x^52+1460x^53+280x^54+1228x^55+247x^56+686x^57+165x^58+288x^59+137x^60+114x^61+71x^62+30x^63+45x^64+2x^65+36x^66+14x^68+10x^70+3x^72+1x^74+1x^76 The gray image is a code over GF(2) with n=212, k=13 and d=82. This code was found by Heurico 1.16 in 12.4 seconds.