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 X 0 X 0 X 1 0 1 X 1 1 1 0 X 1 0 1 1 X 1 1 1 1 1 1 0 1 0 1 0 X 1 2 1 0 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 X+2 0 2 2 X X+2 X X+2 X X+2 0 X 0 X+2 0 X+2 0 X X+2 0 X X+2 X+2 X+2 2 X+2 X 0 X+2 X X 0 X X X 0 X X 2 X X 0 X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+40x^50+8x^51+109x^52+64x^53+178x^54+132x^55+306x^56+208x^57+633x^58+272x^59+1144x^60+320x^61+1394x^62+360x^63+1125x^64+288x^65+644x^66+200x^67+274x^68+128x^69+110x^70+52x^71+62x^72+16x^73+54x^74+40x^76+14x^78+10x^80+4x^82+1x^84+1x^90 The gray image is a code over GF(2) with n=248, k=13 and d=100. This code was found by Heurico 1.16 in 6 seconds.