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 1 1 1 1 1 1 1 X 0 1 X 0 1 X 0 1 1 X 0 1 1 1 1 1 1 1 X 1 X 1 0 1 1 0 1 1 1 X 2 1 0 1 0 1 1 1 1 X X 0 1 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 2 X+2 X 2 X+2 X X 0 0 0 0 X+2 X X+2 X X+2 X 2 X+2 X 2 X+2 X 0 0 X+2 X X+2 0 X+2 X+2 X 2 X+2 X+2 2 X+2 2 X 2 2 X X+2 X X X+2 X X+2 X X+2 X X X+2 2 X X+2 X+2 X 0 X+2 X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+111x^64+78x^66+439x^68+470x^70+979x^72+1244x^74+1619x^76+1244x^78+956x^80+470x^82+348x^84+78x^86+94x^88+39x^92+17x^96+3x^100+1x^104+1x^112 The gray image is a code over GF(2) with n=304, k=13 and d=128. This code was found by Heurico 1.16 in 8.19 seconds.