The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X+2 X 1 1 1 1 1 2 X 0 0 1 1 1 1 1 1 X+2 1 1 X 1 1 2 1 1 0 X 1 X+2 0 2 X 1 0 1 0 0 2 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X 1 1 X 3 1 1 3 0 X+3 3 X 1 1 1 1 1 0 X+1 0 X 2 1 3 X+3 1 X+3 0 1 X+1 X 0 X X+2 1 1 0 X X 1 1 1 0 X 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X 0 2 2 0 X+2 2 0 X X+2 X+2 X+2 X+2 2 2 X+2 0 2 0 X+2 X X+2 2 2 2 X X 2 X X X X+2 X X+2 0 X X+2 0 0 X X+2 X 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 0 generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+176x^52+64x^53+296x^54+292x^55+748x^56+604x^57+970x^58+1320x^59+1297x^60+1816x^61+1286x^62+1776x^63+1362x^64+1360x^65+944x^66+664x^67+566x^68+232x^69+288x^70+44x^71+150x^72+20x^73+54x^74+41x^76+2x^78+11x^80 The gray image is a code over GF(2) with n=248, k=14 and d=104. This code was found by Heurico 1.16 in 14.2 seconds.