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 X 0 1 X 0 X 0 1 1 1 1 X 1 0 X 0 1 1 1 1 1 X 1 0 1 2 1 1 1 1 1 2 1 2 1 X 1 1 1 X 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 0 2 X+2 2 X+2 X X+2 X+2 X X+2 X 0 2 X+2 X X+2 0 X X+2 X X+2 2 X+2 2 X X+2 2 X X 2 0 0 0 X X 0 X+2 2 2 X 0 X+2 0 X+2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+67x^52+48x^54+286x^56+294x^58+812x^60+1046x^62+1583x^64+1460x^66+1254x^68+596x^70+403x^72+134x^74+148x^76+6x^78+27x^80+23x^84+3x^88+1x^96 The gray image is a code over GF(2) with n=260, k=13 and d=104. This code was found by Heurico 1.16 in 6.37 seconds.