The generator matrix 1 0 1 1 1 0 1 1 2 1 0 1 1 X 1 1 1 X 1 2 1 X+2 1 1 X+2 1 X+2 1 1 1 1 1 X+2 1 1 0 1 0 X+2 X 1 1 X+2 1 1 1 0 1 2 1 1 X 0 1 1 X 2 1 1 1 1 X+2 1 0 1 0 1 1 0 X+1 1 0 X+1 1 2 1 1 X+2 1 3 X+2 3 1 X 1 X+3 1 X X+3 1 0 1 X+2 2 1 3 1 1 X 3 1 X+1 1 1 1 3 X+2 1 1 3 X+2 1 2 1 X+1 2 X 1 2 3 1 1 X+1 3 2 X+1 1 1 1 0 0 0 X 0 X 0 X 0 X X X+2 0 X+2 X+2 2 0 X 2 X+2 X+2 X+2 0 0 2 X+2 X 0 0 X+2 2 X 2 X+2 X+2 X+2 2 X 2 X+2 0 0 2 2 2 X+2 2 2 X 0 0 X+2 X+2 X+2 X X+2 X X+2 X 0 X+2 2 2 0 2 0 0 0 0 X X X+2 X 0 0 0 X X X+2 0 2 2 X X+2 0 0 2 2 X+2 X X X 0 2 0 X X+2 X 2 2 X+2 X 0 X 0 0 X X+2 X+2 2 X+2 0 0 2 2 X+2 2 X X+2 2 X 0 2 2 X+2 0 X 0 X 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 2 0 0 0 0 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+27x^54+94x^55+136x^56+268x^57+401x^58+508x^59+808x^60+934x^61+1203x^62+1466x^63+1546x^64+1680x^65+1579x^66+1430x^67+1174x^68+990x^69+741x^70+504x^71+371x^72+198x^73+120x^74+70x^75+44x^76+20x^77+21x^78+24x^79+9x^80+6x^81+3x^82+6x^84+1x^88+1x^90 The gray image is a code over GF(2) with n=260, k=14 and d=108. This code was found by Heurico 1.16 in 14.6 seconds.