The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 1 1 0 1 1 2 1 X 1 1 X+2 1 0 1 1 X+2 1 1 0 1 1 1 1 1 0 0 1 1 1 X+2 1 1 1 2 1 1 1 1 X+2 0 1 1 1 1 2 1 2 X X X+2 X 0 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 X+2 1 1 2 X+1 1 X+2 1 X+1 X+1 1 X+3 1 1 X+2 1 X+2 X+2 1 1 2 X+3 X 3 1 1 X 3 3 1 1 X+3 X 1 0 X+2 X+1 X+1 1 1 0 X 3 1 1 X 1 2 0 1 X 1 2 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X+2 X 0 X X 2 X+2 X X 2 X X+2 X 2 0 X+2 X X 0 X+2 X+2 0 2 0 0 X 2 2 X+2 X+2 X 2 X+2 X 0 X X+2 2 2 X+2 0 X X+2 2 2 0 X X X X X 0 X+2 X 0 0 0 X 0 0 X X X X X+2 2 X X+2 X+2 X X X 0 0 2 0 2 0 2 X+2 X 2 X 2 2 X+2 0 X+2 0 X 0 X X+2 X X 2 X+2 X X+2 0 X+2 X+2 X+2 2 2 0 X 2 2 X 0 X X 0 X+2 0 X 0 X X 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 0 generates a code of length 68 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+153x^58+36x^59+442x^60+236x^61+816x^62+524x^63+1304x^64+940x^65+1682x^66+1344x^67+1678x^68+1328x^69+1535x^70+976x^71+1238x^72+496x^73+755x^74+188x^75+360x^76+68x^77+148x^78+4x^79+79x^80+4x^81+26x^82+16x^84+5x^86+2x^88 The gray image is a code over GF(2) with n=272, k=14 and d=116. This code was found by Heurico 1.16 in 16.6 seconds.