The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 X+2 1 1 1 0 1 X+2 1 1 1 1 0 1 X+2 1 1 1 0 1 1 1 X+2 0 0 1 2 1 1 1 1 1 0 1 1 1 1 1 2 X+2 X+2 1 1 1 1 1 1 1 1 X 1 1 X+2 1 1 0 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 0 3 1 X+2 X+1 X 1 X+1 1 3 0 2 X+1 1 X+2 1 3 X+1 X+2 1 0 3 X+1 1 1 1 3 1 0 3 X+2 0 X+2 1 0 X+1 0 2 X+2 1 1 1 X+3 0 X X+1 0 X+1 X+2 X+3 1 1 3 1 3 X+2 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 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 2 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 2 2 0 2 2 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+18x^60+30x^61+68x^62+164x^63+166x^64+406x^65+175x^66+752x^67+317x^68+1100x^69+314x^70+1240x^71+307x^72+1100x^73+305x^74+752x^75+145x^76+406x^77+126x^78+164x^79+38x^80+30x^81+18x^82+19x^84+10x^86+7x^88+5x^90+5x^92+2x^94+1x^96+1x^98 The gray image is a code over GF(2) with n=284, k=13 and d=120. This code was found by Heurico 1.16 in 4.67 seconds.