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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 0 X 0 X X 2 0 1 1 2 0 1 1 1 X 0 1 X 0 0 1 X 0 X 1 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 2 0 X 2 X+2 X X 2 X X X 0 0 2 0 0 2 X+2 0 X+2 X+2 0 2 X+2 2 2 2 X+2 2 2 0 X X 0 X 0 X X X 0 0 X+2 0 2 0 X X X X 0 X+2 2 X+2 X 2 0 0 X 0 0 0 X X+2 X 0 0 0 X X 0 X 2 X X+2 X+2 0 2 0 2 X+2 2 2 X X+2 0 X X+2 X 2 X X 2 X 2 0 X+2 X+2 2 X X+2 X 0 2 X 2 2 X 0 X 0 X+2 X+2 2 X 0 X+2 0 0 X+2 2 X 0 X 0 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X 0 X+2 X+2 2 X 0 0 2 X 0 X 0 X+2 X+2 X 2 0 X+2 X+2 2 2 0 X 0 2 0 0 2 0 X 0 2 X 0 X+2 2 X 0 0 2 X+2 X+2 X+2 X 0 X+2 X+2 X+2 2 0 X 0 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 2 2 X 0 0 X 2 0 X+2 2 X X X X 0 0 0 X+2 X 0 2 0 0 0 X+2 X 2 X X 2 2 X 0 X 0 2 X+2 X+2 X+2 0 2 0 X+2 X+2 2 X+2 X+2 X X+2 0 2 X+2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 0 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+212x^58+546x^60+52x^61+773x^62+176x^63+1170x^64+456x^65+1489x^66+808x^67+1897x^68+1008x^69+2089x^70+936x^71+1657x^72+504x^73+1041x^74+120x^75+622x^76+28x^77+411x^78+8x^79+225x^80+119x^82+22x^84+7x^86+3x^88+3x^90+1x^100 The gray image is a code over GF(2) with n=276, k=14 and d=116. This code was found by Heurico 1.16 in 23.2 seconds.