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 X 0 X 0 1 X 0 1 1 1 X 1 0 1 1 1 X X 0 1 0 1 0 1 1 1 1 X 1 0 0 1 2 2 X 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 0 2 X+2 2 X+2 X X+2 X X+2 X+2 X X+2 X 0 X+2 X+2 X X 0 2 X+2 X+2 X 2 X X+2 X X 2 0 X X+2 2 X X 0 X 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 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 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+62x^48+24x^50+305x^52+294x^54+80x^55+649x^56+240x^57+708x^58+400x^59+1067x^60+560x^61+948x^62+496x^63+916x^64+208x^65+456x^66+48x^67+395x^68+16x^69+118x^70+131x^72+12x^74+37x^76+17x^80+4x^84 The gray image is a code over GF(2) with n=244, k=13 and d=96. This code was found by Heurico 1.16 in 5.69 seconds.