Java Code :

private static int sumRow(int rowIndex, int startColIndex, int endcolIndex, int[][] array) {

    int sum = 0;
    for(int col = startColIndex; col <= endcolIndex; col ++ ) {
        sum = sum + array[rowIndex][col];
    }
    return sum;
}

private static int hourglassSum(int[][] arr) {
    int maxRow = 6, maxCol = 6, rowIndex = 0, columnIndex = 0, maxValue = 0;
    while(true) {
        //Hour Glass Sum
        int rowOne = sumRow(rowIndex, columnIndex, columnIndex + 2, arr);
        int rowTwo = arr[rowIndex + 1] [columnIndex + 1];
        int rowThree = sumRow(rowIndex + 2, columnIndex, columnIndex + 2, arr);

        int total = rowOne + rowTwo + rowThree;

        if((rowIndex == 0 && columnIndex == 0 ) || maxValue < total) {
            maxValue = total;
        }

        columnIndex++;
        if(columnIndex >= maxCol - 2) {
            rowIndex++;
            columnIndex = 0;
        }
        if(rowIndex >= maxRow - 2 )
            break;
    }
    return maxValue;
}