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 1 0 1 X 1 1 1 X+2 1 1 2 1 1 1 1 1 1 X+2 1 0 0 X+2 1 1 0 1 1 0 X 1 1 1 1 1 1 X 1 X X X 1 0 0 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 X+3 1 0 1 X+3 X 3 1 X+3 X 1 X+2 2 X+1 0 3 2 1 X+3 1 1 1 0 X+2 X X+1 X+1 1 1 X+3 X+1 2 X X+1 0 1 0 X X+2 0 X+3 0 1 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 X X+2 2 0 X X X+2 X 0 X X X 0 X 0 2 0 X 2 2 0 X+2 X+2 0 0 X+2 2 2 2 X X+2 0 2 2 X+2 0 0 X X+2 X+2 X+2 X X 0 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 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 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 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 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 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+51x^56+102x^57+141x^58+332x^59+319x^60+684x^61+561x^62+1254x^63+904x^64+1766x^65+1145x^66+1936x^67+1132x^68+1824x^69+902x^70+1300x^71+493x^72+618x^73+228x^74+276x^75+140x^76+116x^77+69x^78+22x^79+23x^80+10x^81+21x^82+8x^84+4x^86+1x^90+1x^92 The gray image is a code over GF(2) with n=268, k=14 and d=112. This code was found by Heurico 1.16 in 15.4 seconds.