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 X 0 1 1 1 X 0 1 1 1 0 1 X 1 1 1 1 1 X 0 1 X 1 0 1 1 X 1 0 0 1 1 1 2 0 1 0 1 1 X 1 X 2 1 1 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 0 0 2 X+2 X+2 X+2 X X+2 X 0 2 2 X+2 X X X 0 X 2 X+2 0 0 0 X+2 0 X+2 X X+2 X+2 X+2 X X X X+2 2 X X X+2 X+2 X X X X X 2 2 X+2 X+2 X 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 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+46x^60+16x^61+70x^62+60x^63+159x^64+106x^65+297x^66+112x^67+408x^68+140x^69+556x^70+164x^71+603x^72+128x^73+433x^74+124x^75+238x^76+100x^77+125x^78+48x^79+63x^80+22x^81+31x^82+4x^83+8x^84+15x^86+5x^88+7x^90+4x^92+1x^94+1x^96+1x^102 The gray image is a code over GF(2) with n=284, k=12 and d=120. This code was found by Heurico 1.16 in 1.77 seconds.