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 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 2 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 X 0 X+2 0 X+2 0 X 0 X+2 X+2 0 X 0 0 X 0 X+2 0 X 0 X+2 0 X 0 X+2 2 X 2 X+2 2 X 0 X+2 X+2 2 0 X+2 X+2 2 0 X+2 X+2 2 X 0 X 2 0 X+2 X 2 X+2 X+2 0 2 0 2 X X 0 2 X+2 2 X 2 2 X+2 X+2 0 2 2 X X X X+2 0 2 2 0 2 2 X+2 X X X X+2 X 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+100x^84+82x^86+386x^88+128x^89+58x^90+128x^91+43x^92+22x^94+45x^96+30x^98+1x^172 The gray image is a code over GF(2) with n=356, k=10 and d=168. This code was found by Heurico 1.16 in 25.9 seconds.