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 0 2 2 X 0 0 1 1 0 X 1 1 1 0 X 0 0 X 1 X 0 1 X 0 0 X 1 0 1 0 1 0 X 0 0 0 0 0 0 0 X X+2 X X X+2 X 2 X 2 X+2 0 2 2 0 X X+2 X 2 X+2 0 X X X+2 X X+2 X+2 2 0 X+2 2 X X X X 0 2 2 2 X X 0 0 X+2 X X X 0 X+2 0 X+2 X X X 0 X X 2 2 X 0 0 0 0 X 0 0 0 X X+2 X 0 0 0 X X X+2 2 X X+2 2 X+2 X 2 2 2 X 0 X+2 0 2 0 2 X+2 X+2 X X+2 0 X+2 X 0 2 X X X 2 2 2 0 X+2 X+2 0 X X 2 0 2 X X X X 0 X+2 X X 0 X+2 X X 0 0 X 0 0 0 X 0 X X X+2 0 X X 2 0 2 X+2 X X+2 X+2 X+2 X 0 X 2 0 X 0 2 X+2 2 X+2 2 2 X 0 X 0 2 X 0 0 2 X+2 2 0 2 0 X+2 2 X X 2 0 2 0 X 2 X+2 X+2 X X 2 0 2 X 0 2 2 X 2 X 0 0 0 0 X X 0 X+2 X 2 X+2 X+2 0 X+2 X 2 0 X 2 0 X X X+2 X+2 X 2 2 X 0 2 2 X+2 X+2 0 2 X+2 X+2 0 0 0 0 X 0 X X X X X+2 X+2 0 X X+2 0 X 0 X X X+2 2 X 0 X+2 X X 0 X 0 2 X 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+69x^58+118x^59+205x^60+276x^61+325x^62+414x^63+593x^64+714x^65+926x^66+1120x^67+1315x^68+1444x^69+1414x^70+1484x^71+1216x^72+1158x^73+967x^74+696x^75+553x^76+398x^77+319x^78+216x^79+176x^80+88x^81+67x^82+42x^83+31x^84+18x^85+6x^86+6x^87+6x^88+2x^90+1x^98 The gray image is a code over GF(2) with n=280, k=14 and d=116. This code was found by Heurico 1.16 in 22.3 seconds.