The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 2 1 1 1 0 1 0 1 1 1 1 0 X+2 1 2 X X 1 1 1 1 1 X 1 1 1 0 1 1 1 0 1 2 X 2 1 0 1 1 1 X 1 1 1 X+2 2 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 X+2 3 X+3 1 1 X+2 X+2 X+3 1 1 1 X+3 2 1 0 1 1 0 1 1 1 X X+3 2 0 X+1 1 X+3 X+3 2 1 2 3 X+3 1 2 1 X+2 1 X+3 1 X+1 X 2 1 X+2 1 0 1 1 X+2 0 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X X 2 X 2 X+2 2 0 2 X X+2 0 X+2 X+2 X 0 2 0 0 X X+2 0 X+2 X X X 0 X 2 2 2 0 0 X X X+2 2 0 X+2 X 0 0 0 X+2 2 2 0 2 2 X+2 X X+2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 2 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+98x^60+44x^61+285x^62+272x^63+467x^64+472x^65+632x^66+792x^67+656x^68+960x^69+608x^70+744x^71+566x^72+520x^73+393x^74+232x^75+185x^76+52x^77+103x^78+8x^79+55x^80+20x^82+12x^84+4x^86+6x^88+3x^90+1x^92+1x^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 4.53 seconds.