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 1 1 0 1 1 0 X+2 1 1 1 1 0 1 X+2 1 0 1 2 X+2 1 1 1 1 1 1 X 1 1 1 1 1 1 0 1 1 1 X+2 1 2 1 0 1 X+2 1 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 X+2 X+1 1 3 0 1 2 X+1 X+3 X+2 1 3 0 1 1 X+2 3 X+2 3 1 X+1 1 0 1 0 1 1 3 X+2 X+1 3 0 X 1 X+2 3 3 2 X 1 1 X+2 X+1 X+3 1 X 1 X+1 1 0 1 X+2 3 X+1 X+1 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 2 0 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 0 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+179x^60+28x^61+210x^62+160x^63+622x^64+400x^65+696x^66+608x^67+914x^68+680x^69+812x^70+608x^71+766x^72+400x^73+504x^74+160x^75+257x^76+28x^77+82x^78+37x^80+24x^84+12x^88+2x^92+2x^96 The gray image is a code over GF(2) with n=276, k=13 and d=120. This code was found by Heurico 1.16 in 60 seconds.