The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 X+2 1 1 X 1 1 0 1 1 1 2 1 X+2 1 1 1 1 0 1 1 X+2 1 0 1 1 X+2 1 1 0 X+2 1 X+2 1 0 0 1 1 1 2 X+2 1 1 X 1 1 1 0 1 X+2 1 1 1 1 X+2 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 1 X+3 0 1 X+2 3 3 1 0 1 X+2 X+1 2 X+2 1 3 0 1 X+1 1 X+2 X+1 1 0 3 1 1 3 1 X+1 1 1 1 0 X+2 1 1 2 X+1 1 X+2 2 X+1 1 3 1 X+3 0 3 X+1 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 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+52x^60+68x^61+118x^62+232x^63+238x^64+508x^65+387x^66+692x^67+528x^68+1060x^69+516x^70+1060x^71+495x^72+692x^73+361x^74+508x^75+186x^76+232x^77+110x^78+68x^79+22x^80+22x^82+8x^84+12x^86+3x^88+5x^90+2x^92+4x^94+1x^96+1x^98 The gray image is a code over GF(2) with n=280, k=13 and d=120. This code was found by Heurico 1.16 in 4.7 seconds.