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 1 1 X X X X X X X X X X X X X X 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 0 2 0 2 2 2X 2X 2 2X X 2 1 X X X 2 1 2 2 0 2 2X X X X X 1 2 2 2 2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 2X 2 2X 2 2X 2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 2X 2 2X 2 2X 2 2X+2 2X+2 2X+2 2X+2 2 2 0 2X 2 0 2X 2 0 2X 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2X 2X 2X 2X+2 2 2X+2 2 2X+2 2 2X+2 2 2 2 2 2 0 2X 2 2X 0 2X 2 2 0 2X 2 2 2 0 2X 0 2X 2 0 0 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 0 2X 2X 2X 2X 2X 2X 0 generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+70x^91+136x^92+16x^93+16x^94+7x^96+8x^99+2x^107 The gray image is a code over GF(2) with n=736, k=8 and d=364. This code was found by Heurico 1.16 in 2.5 seconds.