The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 0 1 1 X+2 1 1 1 1 2 2 1 1 1 1 1 2 1 0 1 2 2 2 X 1 1 1 X+2 1 2 2 1 0 X 1 2 2 1 1 1 1 1 X+2 1 1 X+2 X X+2 X X+2 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X 3 1 0 X+1 1 X+2 0 X+1 1 1 X 2 X+2 X 3 1 X+2 0 1 X 1 1 1 2 0 3 X+3 1 1 1 1 X+1 0 1 1 1 1 2 X+3 X+3 0 X 1 X+2 X 1 1 1 1 1 3 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 X+2 2 1 X+3 3 X+2 0 3 X+3 X 1 1 X X+1 X+2 0 X+1 1 0 X+3 3 X+1 X X+2 1 1 X X+1 X+3 3 2 X 2 1 X+1 1 2 2 X+1 X+2 2 3 X+3 1 0 2 X+2 3 2 X+3 X+1 1 X+2 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 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+207x^60+148x^61+552x^62+524x^63+1119x^64+736x^65+1530x^66+1128x^67+1814x^68+1128x^69+1760x^70+992x^71+1513x^72+896x^73+922x^74+408x^75+499x^76+164x^77+190x^78+20x^79+72x^80+36x^82+14x^84+2x^86+7x^88+2x^92 The gray image is a code over GF(2) with n=276, k=14 and d=120. This code was found by Heurico 1.16 in 13.7 seconds.