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 2 2 1 1 1 X 1 1 1 X 1 0 1 0 1 1 1 2 1 2 1 2 1 X 1 1 X 1 1 0 1 1 0 1 X 1 1 X 1 X X 1 2 X 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 X+2 0 2 X X 2 X 0 X X+2 X+2 X X X+2 X+2 2 2 X+2 X+2 X X X+2 2 0 X X+2 X X 2 0 X 2 X 0 X+2 2 X+2 2 2 X X 0 X+2 2 2 X+2 X+2 X 2 X+2 0 X 0 X X+2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 0 2 X 2 X X X 2 X 0 0 0 X+2 X X+2 X X X+2 2 X+2 X X+2 0 2 X+2 2 0 0 X X 0 2 2 X+2 X+2 X 0 2 0 X 2 2 2 X 2 0 X 0 X 2 X+2 X+2 0 2 0 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 0 X 2 X+2 X+2 X X 2 2 0 X+2 X 2 2 2 0 0 X X 2 2 X X 0 X 0 X 2 X 0 X+2 0 X X 0 0 0 X+2 2 2 X+2 X+2 2 X+2 2 0 X 0 0 X X 0 X X 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 0 0 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+111x^70+4x^71+262x^72+44x^73+400x^74+108x^75+408x^76+204x^77+424x^78+292x^79+451x^80+228x^81+361x^82+100x^83+263x^84+36x^85+160x^86+8x^87+102x^88+63x^90+37x^92+13x^94+11x^96+4x^98+1x^120 The gray image is a code over GF(2) with n=316, k=12 and d=140. This code was found by Heurico 1.16 in 1.93 seconds.